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数论小猜想

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发表于 2022-1-9 21:01 | 显示全部楼层
加150加5400的从10到1000内有4720组蔡氏偶数拆分有496个不同的偶数
2m=10p1=3p2=7p3=157p4=5407
2m=12p1=5p2=7p3=157p4=5407
2m=14p1=7p2=7p3=157p4=5407
2m=16p1=3p2=13p3=163p4=5413
2m=18p1=5p2=13p3=163p4=5413
2m=18p1=11p2=7p3=157p4=5407
2m=20p1=3p2=17p3=167p4=5417
2m=20p1=7p2=13p3=163p4=5413
2m=20p1=13p2=7p3=157p4=5407
2m=22p1=5p2=17p3=167p4=5417
2m=24p1=7p2=17p3=167p4=5417
2m=24p1=11p2=13p3=163p4=5413
2m=24p1=17p2=7p3=157p4=5407
2m=26p1=13p2=13p3=163p4=5413
2m=26p1=19p2=7p3=157p4=5407
2m=28p1=11p2=17p3=167p4=5417
2m=30p1=13p2=17p3=167p4=5417
2m=30p1=17p2=13p3=163p4=5413
2m=30p1=23p2=7p3=157p4=5407
2m=32p1=19p2=13p3=163p4=5413
2m=34p1=3p2=31p3=181p4=5431
2m=34p1=17p2=17p3=167p4=5417
2m=36p1=5p2=31p3=181p4=5431
2m=36p1=19p2=17p3=167p4=5417
2m=36p1=23p2=13p3=163p4=5413
2m=36p1=29p2=7p3=157p4=5407
2m=38p1=7p2=31p3=181p4=5431
2m=38p1=31p2=7p3=157p4=5407
2m=40p1=23p2=17p3=167p4=5417
2m=42p1=11p2=31p3=181p4=5431
2m=42p1=29p2=13p3=163p4=5413
2m=44p1=3p2=41p3=191p4=5441
2m=44p1=13p2=31p3=181p4=5431
2m=44p1=31p2=13p3=163p4=5413
2m=44p1=37p2=7p3=157p4=5407
2m=46p1=3p2=43p3=193p4=5443
2m=46p1=5p2=41p3=191p4=5441
2m=46p1=29p2=17p3=167p4=5417
2m=48p1=5p2=43p3=193p4=5443
2m=48p1=7p2=41p3=191p4=5441
2m=48p1=17p2=31p3=181p4=5431
2m=48p1=31p2=17p3=167p4=5417
2m=48p1=41p2=7p3=157p4=5407
2m=50p1=7p2=43p3=193p4=5443
2m=50p1=19p2=31p3=181p4=5431
2m=50p1=37p2=13p3=163p4=5413
2m=50p1=43p2=7p3=157p4=5407
2m=52p1=11p2=41p3=191p4=5441
2m=54p1=11p2=43p3=193p4=5443
2m=54p1=13p2=41p3=191p4=5441
2m=54p1=23p2=31p3=181p4=5431
2m=54p1=37p2=17p3=167p4=5417
2m=54p1=41p2=13p3=163p4=5413
2m=54p1=47p2=7p3=157p4=5407
2m=56p1=13p2=43p3=193p4=5443
2m=56p1=43p2=13p3=163p4=5413
2m=58p1=17p2=41p3=191p4=5441
2m=58p1=41p2=17p3=167p4=5417
2m=60p1=17p2=43p3=193p4=5443
2m=60p1=19p2=41p3=191p4=5441
2m=60p1=29p2=31p3=181p4=5431
2m=60p1=43p2=17p3=167p4=5417
2m=60p1=47p2=13p3=163p4=5413
2m=60p1=53p2=7p3=157p4=5407
2m=62p1=19p2=43p3=193p4=5443
2m=62p1=31p2=31p3=181p4=5431
2m=64p1=23p2=41p3=191p4=5441
2m=64p1=47p2=17p3=167p4=5417
2m=66p1=23p2=43p3=193p4=5443
2m=66p1=53p2=13p3=163p4=5413
2m=66p1=59p2=7p3=157p4=5407
2m=68p1=37p2=31p3=181p4=5431
2m=68p1=61p2=7p3=157p4=5407
2m=70p1=29p2=41p3=191p4=5441
2m=70p1=53p2=17p3=167p4=5417
2m=72p1=29p2=43p3=193p4=5443
2m=72p1=31p2=41p3=191p4=5441
2m=72p1=41p2=31p3=181p4=5431
2m=72p1=59p2=13p3=163p4=5413
2m=74p1=31p2=43p3=193p4=5443
2m=74p1=43p2=31p3=181p4=5431
2m=74p1=61p2=13p3=163p4=5413
2m=74p1=67p2=7p3=157p4=5407
2m=76p1=59p2=17p3=167p4=5417
2m=78p1=37p2=41p3=191p4=5441
2m=78p1=47p2=31p3=181p4=5431
2m=78p1=61p2=17p3=167p4=5417
2m=78p1=71p2=7p3=157p4=5407
2m=80p1=37p2=43p3=193p4=5443
2m=80p1=67p2=13p3=163p4=5413
2m=80p1=73p2=7p3=157p4=5407
2m=82p1=3p2=79p3=229p4=5479
2m=82p1=41p2=41p3=191p4=5441
2m=84p1=5p2=79p3=229p4=5479
2m=84p1=41p2=43p3=193p4=5443
2m=84p1=43p2=41p3=191p4=5441
2m=84p1=53p2=31p3=181p4=5431
2m=84p1=67p2=17p3=167p4=5417
2m=84p1=71p2=13p3=163p4=5413
2m=86p1=3p2=83p3=233p4=5483
2m=86p1=7p2=79p3=229p4=5479
2m=86p1=43p2=43p3=193p4=5443
2m=86p1=73p2=13p3=163p4=5413
2m=86p1=79p2=7p3=157p4=5407
2m=88p1=5p2=83p3=233p4=5483
2m=88p1=47p2=41p3=191p4=5441
2m=88p1=71p2=17p3=167p4=5417
2m=90p1=7p2=83p3=233p4=5483
2m=90p1=11p2=79p3=229p4=5479
2m=90p1=47p2=43p3=193p4=5443
2m=90p1=59p2=31p3=181p4=5431
2m=90p1=73p2=17p3=167p4=5417
2m=90p1=83p2=7p3=157p4=5407
2m=92p1=13p2=79p3=229p4=5479
2m=92p1=61p2=31p3=181p4=5431
2m=92p1=79p2=13p3=163p4=5413
2m=94p1=11p2=83p3=233p4=5483
2m=94p1=53p2=41p3=191p4=5441
2m=96p1=13p2=83p3=233p4=5483
2m=96p1=17p2=79p3=229p4=5479
2m=96p1=53p2=43p3=193p4=5443
2m=96p1=79p2=17p3=167p4=5417
2m=96p1=83p2=13p3=163p4=5413
2m=96p1=89p2=7p3=157p4=5407
2m=98p1=19p2=79p3=229p4=5479
2m=98p1=67p2=31p3=181p4=5431
2m=100p1=17p2=83p3=233p4=5483
2m=100p1=59p2=41p3=191p4=5441
2m=100p1=83p2=17p3=167p4=5417
2m=102p1=19p2=83p3=233p4=5483
2m=102p1=23p2=79p3=229p4=5479
2m=102p1=59p2=43p3=193p4=5443
2m=102p1=61p2=41p3=191p4=5441
2m=102p1=71p2=31p3=181p4=5431
2m=102p1=89p2=13p3=163p4=5413
2m=104p1=3p2=101p3=251p4=5501
2m=104p1=61p2=43p3=193p4=5443
2m=104p1=73p2=31p3=181p4=5431
2m=104p1=97p2=7p3=157p4=5407
2m=106p1=5p2=101p3=251p4=5501
2m=106p1=23p2=83p3=233p4=5483
2m=106p1=89p2=17p3=167p4=5417
2m=108p1=7p2=101p3=251p4=5501
2m=108p1=29p2=79p3=229p4=5479
2m=108p1=67p2=41p3=191p4=5441
2m=108p1=101p2=7p3=157p4=5407
2m=110p1=3p2=107p3=257p4=5507
2m=110p1=31p2=79p3=229p4=5479
2m=110p1=67p2=43p3=193p4=5443
2m=110p1=79p2=31p3=181p4=5431
2m=110p1=97p2=13p3=163p4=5413
2m=110p1=103p2=7p3=157p4=5407
2m=112p1=5p2=107p3=257p4=5507
2m=112p1=11p2=101p3=251p4=5501
2m=112p1=29p2=83p3=233p4=5483
2m=112p1=71p2=41p3=191p4=5441
2m=114p1=7p2=107p3=257p4=5507
2m=114p1=13p2=101p3=251p4=5501
2m=114p1=31p2=83p3=233p4=5483
2m=114p1=71p2=43p3=193p4=5443
2m=114p1=73p2=41p3=191p4=5441
2m=114p1=83p2=31p3=181p4=5431
2m=114p1=97p2=17p3=167p4=5417
2m=114p1=101p2=13p3=163p4=5413
2m=114p1=107p2=7p3=157p4=5407
2m=116p1=37p2=79p3=229p4=5479
2m=116p1=73p2=43p3=193p4=5443
2m=116p1=103p2=13p3=163p4=5413
2m=116p1=109p2=7p3=157p4=5407
2m=118p1=11p2=107p3=257p4=5507
2m=118p1=17p2=101p3=251p4=5501
2m=118p1=101p2=17p3=167p4=5417
2m=120p1=13p2=107p3=257p4=5507
2m=120p1=19p2=101p3=251p4=5501
2m=120p1=37p2=83p3=233p4=5483
2m=120p1=41p2=79p3=229p4=5479
2m=120p1=79p2=41p3=191p4=5441
2m=120p1=89p2=31p3=181p4=5431
2m=120p1=103p2=17p3=167p4=5417
2m=120p1=107p2=13p3=163p4=5413
2m=120p1=113p2=7p3=157p4=5407
2m=122p1=43p2=79p3=229p4=5479
2m=122p1=79p2=43p3=193p4=5443
2m=122p1=109p2=13p3=163p4=5413
2m=124p1=17p2=107p3=257p4=5507
2m=124p1=23p2=101p3=251p4=5501
2m=124p1=41p2=83p3=233p4=5483
2m=124p1=83p2=41p3=191p4=5441
2m=124p1=107p2=17p3=167p4=5417
2m=126p1=19p2=107p3=257p4=5507
2m=126p1=43p2=83p3=233p4=5483
2m=126p1=47p2=79p3=229p4=5479
2m=126p1=83p2=43p3=193p4=5443
2m=126p1=109p2=17p3=167p4=5417
2m=126p1=113p2=13p3=163p4=5413
2m=128p1=97p2=31p3=181p4=5431
2m=130p1=3p2=127p3=277p4=5527
2m=130p1=23p2=107p3=257p4=5507
2m=130p1=29p2=101p3=251p4=5501
2m=130p1=47p2=83p3=233p4=5483
2m=130p1=89p2=41p3=191p4=5441
2m=130p1=113p2=17p3=167p4=5417
2m=132p1=5p2=127p3=277p4=5527
2m=132p1=31p2=101p3=251p4=5501
2m=132p1=53p2=79p3=229p4=5479
2m=132p1=89p2=43p3=193p4=5443
2m=132p1=101p2=31p3=181p4=5431
2m=134p1=3p2=131p3=281p4=5531
2m=134p1=7p2=127p3=277p4=5527
2m=134p1=103p2=31p3=181p4=5431
2m=134p1=127p2=7p3=157p4=5407
2m=136p1=5p2=131p3=281p4=5531
2m=136p1=29p2=107p3=257p4=5507
2m=136p1=53p2=83p3=233p4=5483
2m=138p1=7p2=131p3=281p4=5531
2m=138p1=11p2=127p3=277p4=5527
2m=138p1=31p2=107p3=257p4=5507
2m=138p1=37p2=101p3=251p4=5501
2m=138p1=59p2=79p3=229p4=5479
2m=138p1=97p2=41p3=191p4=5441
2m=138p1=107p2=31p3=181p4=5431
2m=138p1=131p2=7p3=157p4=5407
2m=140p1=13p2=127p3=277p4=5527
2m=140p1=61p2=79p3=229p4=5479
2m=140p1=97p2=43p3=193p4=5443
2m=140p1=109p2=31p3=181p4=5431
2m=140p1=127p2=13p3=163p4=5413
2m=142p1=11p2=131p3=281p4=5531
2m=142p1=41p2=101p3=251p4=5501
2m=142p1=59p2=83p3=233p4=5483
2m=142p1=101p2=41p3=191p4=5441
2m=144p1=13p2=131p3=281p4=5531
2m=144p1=17p2=127p3=277p4=5527
2m=144p1=37p2=107p3=257p4=5507
2m=144p1=43p2=101p3=251p4=5501
2m=144p1=61p2=83p3=233p4=5483
2m=144p1=101p2=43p3=193p4=5443
2m=144p1=103p2=41p3=191p4=5441
2m=144p1=113p2=31p3=181p4=5431
2m=144p1=127p2=17p3=167p4=5417
2m=144p1=131p2=13p3=163p4=5413
2m=144p1=137p2=7p3=157p4=5407
2m=146p1=19p2=127p3=277p4=5527
2m=146p1=67p2=79p3=229p4=5479
2m=146p1=103p2=43p3=193p4=5443
2m=146p1=139p2=7p3=157p4=5407
2m=148p1=17p2=131p3=281p4=5531
2m=148p1=41p2=107p3=257p4=5507
2m=148p1=47p2=101p3=251p4=5501
2m=148p1=107p2=41p3=191p4=5441
2m=148p1=131p2=17p3=167p4=5417
2m=150p1=19p2=131p3=281p4=5531
2m=150p1=23p2=127p3=277p4=5527
2m=150p1=43p2=107p3=257p4=5507
2m=150p1=67p2=83p3=233p4=5483
2m=150p1=71p2=79p3=229p4=5479
2m=150p1=107p2=43p3=193p4=5443
2m=150p1=109p2=41p3=191p4=5441
2m=150p1=137p2=13p3=163p4=5413
2m=152p1=73p2=79p3=229p4=5479
2m=152p1=109p2=43p3=193p4=5443
2m=152p1=139p2=13p3=163p4=5413
2m=154p1=23p2=131p3=281p4=5531
2m=154p1=47p2=107p3=257p4=5507
2m=154p1=53p2=101p3=251p4=5501
2m=154p1=71p2=83p3=233p4=5483
2m=154p1=113p2=41p3=191p4=5441
2m=154p1=137p2=17p3=167p4=5417
2m=156p1=29p2=127p3=277p4=5527
2m=156p1=73p2=83p3=233p4=5483
2m=156p1=113p2=43p3=193p4=5443
2m=156p1=139p2=17p3=167p4=5417
2m=156p1=149p2=7p3=157p4=5407
2m=158p1=31p2=127p3=277p4=5527
2m=158p1=79p2=79p3=229p4=5479
2m=158p1=127p2=31p3=181p4=5431
2m=158p1=151p2=7p3=157p4=5407
2m=160p1=3p2=157p3=307p4=5557
2m=160p1=29p2=131p3=281p4=5531
2m=160p1=53p2=107p3=257p4=5507
2m=160p1=59p2=101p3=251p4=5501
2m=162p1=5p2=157p3=307p4=5557
2m=162p1=31p2=131p3=281p4=5531
2m=162p1=61p2=101p3=251p4=5501
2m=162p1=79p2=83p3=233p4=5483
2m=162p1=83p2=79p3=229p4=5479
2m=162p1=131p2=31p3=181p4=5431
2m=162p1=149p2=13p3=163p4=5413
2m=164p1=7p2=157p3=307p4=5557
2m=164p1=37p2=127p3=277p4=5527
2m=164p1=151p2=13p3=163p4=5413
2m=164p1=157p2=7p3=157p4=5407
2m=166p1=3p2=163p3=313p4=5563
2m=166p1=59p2=107p3=257p4=5507
2m=166p1=83p2=83p3=233p4=5483
2m=166p1=149p2=17p3=167p4=5417
2m=168p1=5p2=163p3=313p4=5563
2m=168p1=11p2=157p3=307p4=5557
2m=168p1=37p2=131p3=281p4=5531
2m=168p1=41p2=127p3=277p4=5527
2m=168p1=61p2=107p3=257p4=5507
2m=168p1=67p2=101p3=251p4=5501
2m=168p1=89p2=79p3=229p4=5479
2m=168p1=127p2=41p3=191p4=5441
2m=168p1=137p2=31p3=181p4=5431
2m=168p1=151p2=17p3=167p4=5417
2m=170p1=7p2=163p3=313p4=5563
2m=170p1=13p2=157p3=307p4=5557
2m=170p1=43p2=127p3=277p4=5527
2m=170p1=127p2=43p3=193p4=5443
2m=170p1=139p2=31p3=181p4=5431
2m=170p1=157p2=13p3=163p4=5413
2m=170p1=163p2=7p3=157p4=5407
2m=172p1=41p2=131p3=281p4=5531
2m=172p1=71p2=101p3=251p4=5501
2m=172p1=89p2=83p3=233p4=5483
2m=172p1=131p2=41p3=191p4=5441
2m=174p1=11p2=163p3=313p4=5563
2m=174p1=17p2=157p3=307p4=5557
2m=174p1=43p2=131p3=281p4=5531
2m=174p1=47p2=127p3=277p4=5527
2m=174p1=67p2=107p3=257p4=5507
2m=174p1=73p2=101p3=251p4=5501
2m=174p1=131p2=43p3=193p4=5443
2m=174p1=157p2=17p3=167p4=5417
2m=174p1=167p2=7p3=157p4=5407
2m=176p1=13p2=163p3=313p4=5563
2m=176p1=19p2=157p3=307p4=5557
2m=176p1=97p2=79p3=229p4=5479
2m=176p1=163p2=13p3=163p4=5413
2m=178p1=47p2=131p3=281p4=5531
2m=178p1=71p2=107p3=257p4=5507
2m=178p1=137p2=41p3=191p4=5441
2m=180p1=17p2=163p3=313p4=5563
2m=180p1=23p2=157p3=307p4=5557
2m=180p1=53p2=127p3=277p4=5527
2m=180p1=73p2=107p3=257p4=5507
2m=180p1=79p2=101p3=251p4=5501
2m=180p1=97p2=83p3=233p4=5483
2m=180p1=101p2=79p3=229p4=5479
2m=180p1=137p2=43p3=193p4=5443
2m=180p1=139p2=41p3=191p4=5441
2m=180p1=149p2=31p3=181p4=5431
2m=180p1=163p2=17p3=167p4=5417
2m=180p1=167p2=13p3=163p4=5413
2m=180p1=173p2=7p3=157p4=5407
2m=182p1=19p2=163p3=313p4=5563
2m=182p1=103p2=79p3=229p4=5479
2m=182p1=139p2=43p3=193p4=5443
2m=182p1=151p2=31p3=181p4=5431
2m=184p1=3p2=181p3=331p4=5581
2m=184p1=53p2=131p3=281p4=5531
2m=184p1=83p2=101p3=251p4=5501
2m=184p1=101p2=83p3=233p4=5483
2m=184p1=167p2=17p3=167p4=5417
2m=186p1=5p2=181p3=331p4=5581
2m=186p1=23p2=163p3=313p4=5563
2m=186p1=29p2=157p3=307p4=5557
2m=186p1=59p2=127p3=277p4=5527
2m=186p1=79p2=107p3=257p4=5507
2m=186p1=103p2=83p3=233p4=5483
2m=186p1=107p2=79p3=229p4=5479
2m=186p1=173p2=13p3=163p4=5413
2m=186p1=179p2=7p3=157p4=5407
2m=188p1=7p2=181p3=331p4=5581
2m=188p1=31p2=157p3=307p4=5557
2m=188p1=61p2=127p3=277p4=5527
2m=188p1=109p2=79p3=229p4=5479
2m=188p1=157p2=31p3=181p4=5431
2m=188p1=181p2=7p3=157p4=5407
2m=190p1=59p2=131p3=281p4=5531
2m=190p1=83p2=107p3=257p4=5507
2m=190p1=89p2=101p3=251p4=5501
2m=190p1=107p2=83p3=233p4=5483
2m=190p1=149p2=41p3=191p4=5441
2m=190p1=173p2=17p3=167p4=5417
2m=192p1=11p2=181p3=331p4=5581
2m=192p1=29p2=163p3=313p4=5563
2m=192p1=61p2=131p3=281p4=5531
2m=192p1=109p2=83p3=233p4=5483
2m=192p1=113p2=79p3=229p4=5479
2m=192p1=149p2=43p3=193p4=5443
2m=192p1=151p2=41p3=191p4=5441
2m=192p1=179p2=13p3=163p4=5413
2m=194p1=13p2=181p3=331p4=5581
2m=194p1=31p2=163p3=313p4=5563
2m=194p1=37p2=157p3=307p4=5557
2m=194p1=67p2=127p3=277p4=5527
2m=194p1=151p2=43p3=193p4=5443
2m=194p1=163p2=31p3=181p4=5431
2m=194p1=181p2=13p3=163p4=5413
2m=196p1=89p2=107p3=257p4=5507
2m=196p1=113p2=83p3=233p4=5483
2m=196p1=179p2=17p3=167p4=5417
2m=198p1=17p2=181p3=331p4=5581
2m=198p1=41p2=157p3=307p4=5557
2m=198p1=67p2=131p3=281p4=5531
2m=198p1=71p2=127p3=277p4=5527
2m=198p1=97p2=101p3=251p4=5501
2m=198p1=157p2=41p3=191p4=5441
2m=198p1=167p2=31p3=181p4=5431
2m=198p1=181p2=17p3=167p4=5417
2m=198p1=191p2=7p3=157p4=5407
2m=200p1=19p2=181p3=331p4=5581
2m=200p1=37p2=163p3=313p4=5563
2m=200p1=43p2=157p3=307p4=5557
2m=200p1=73p2=127p3=277p4=5527
2m=200p1=157p2=43p3=193p4=5443
2m=200p1=193p2=7p3=157p4=5407
2m=202p1=71p2=131p3=281p4=5531
2m=202p1=101p2=101p3=251p4=5501
2m=204p1=23p2=181p3=331p4=5581
2m=204p1=41p2=163p3=313p4=5563
2m=204p1=47p2=157p3=307p4=5557
2m=204p1=73p2=131p3=281p4=5531
2m=204p1=97p2=107p3=257p4=5507
2m=204p1=103p2=101p3=251p4=5501
2m=204p1=163p2=41p3=191p4=5441
2m=204p1=173p2=31p3=181p4=5431
2m=204p1=191p2=13p3=163p4=5413
2m=204p1=197p2=7p3=157p4=5407
2m=206p1=43p2=163p3=313p4=5563
2m=206p1=79p2=127p3=277p4=5527
2m=206p1=127p2=79p3=229p4=5479
2m=206p1=163p2=43p3=193p4=5443
2m=206p1=193p2=13p3=163p4=5413
2m=206p1=199p2=7p3=157p4=5407
2m=208p1=101p2=107p3=257p4=5507
2m=208p1=107p2=101p3=251p4=5501
2m=208p1=167p2=41p3=191p4=5441
2m=208p1=191p2=17p3=167p4=5417
2m=210p1=29p2=181p3=331p4=5581
2m=210p1=47p2=163p3=313p4=5563
2m=210p1=53p2=157p3=307p4=5557
2m=210p1=79p2=131p3=281p4=5531
2m=210p1=83p2=127p3=277p4=5527
2m=210p1=103p2=107p3=257p4=5507
2m=210p1=109p2=101p3=251p4=5501
2m=210p1=127p2=83p3=233p4=5483
2m=210p1=131p2=79p3=229p4=5479
2m=210p1=167p2=43p3=193p4=5443
2m=210p1=179p2=31p3=181p4=5431
2m=210p1=193p2=17p3=167p4=5417
2m=210p1=197p2=13p3=163p4=5413
2m=212p1=31p2=181p3=331p4=5581
2m=212p1=181p2=31p3=181p4=5431
2m=212p1=199p2=13p3=163p4=5413
2m=214p1=83p2=131p3=281p4=5531
2m=214p1=107p2=107p3=257p4=5507
2m=214p1=113p2=101p3=251p4=5501
2m=214p1=131p2=83p3=233p4=5483
2m=214p1=173p2=41p3=191p4=5441
2m=214p1=197p2=17p3=167p4=5417
2m=216p1=53p2=163p3=313p4=5563
2m=216p1=59p2=157p3=307p4=5557
2m=216p1=89p2=127p3=277p4=5527
2m=216p1=109p2=107p3=257p4=5507
2m=216p1=137p2=79p3=229p4=5479
2m=216p1=173p2=43p3=193p4=5443
2m=216p1=199p2=17p3=167p4=5417
2m=218p1=37p2=181p3=331p4=5581
2m=218p1=61p2=157p3=307p4=5557
2m=218p1=139p2=79p3=229p4=5479
2m=218p1=211p2=7p3=157p4=5407
2m=220p1=89p2=131p3=281p4=5531
2m=220p1=113p2=107p3=257p4=5507
2m=220p1=137p2=83p3=233p4=5483
2m=220p1=179p2=41p3=191p4=5441
2m=222p1=41p2=181p3=331p4=5581
2m=222p1=59p2=163p3=313p4=5563
2m=222p1=139p2=83p3=233p4=5483
2m=222p1=179p2=43p3=193p4=5443
2m=222p1=181p2=41p3=191p4=5441
2m=222p1=191p2=31p3=181p4=5431
2m=224p1=43p2=181p3=331p4=5581
2m=224p1=61p2=163p3=313p4=5563
2m=224p1=67p2=157p3=307p4=5557
2m=224p1=97p2=127p3=277p4=5527
2m=224p1=181p2=43p3=193p4=5443
2m=224p1=193p2=31p3=181p4=5431
2m=224p1=211p2=13p3=163p4=5413
2m=226p1=3p2=223p3=373p4=5623
2m=228p1=5p2=223p3=373p4=5623
2m=228p1=47p2=181p3=331p4=5581
2m=228p1=71p2=157p3=307p4=5557
2m=228p1=97p2=131p3=281p4=5531
2m=228p1=101p2=127p3=277p4=5527
2m=228p1=127p2=101p3=251p4=5501
2m=228p1=149p2=79p3=229p4=5479
2m=228p1=197p2=31p3=181p4=5431
2m=228p1=211p2=17p3=167p4=5417
2m=230p1=7p2=223p3=373p4=5623
2m=230p1=67p2=163p3=313p4=5563
2m=230p1=73p2=157p3=307p4=5557
2m=230p1=103p2=127p3=277p4=5527
2m=230p1=151p2=79p3=229p4=5479
2m=230p1=199p2=31p3=181p4=5431
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 楼主| 发表于 2022-1-9 21:25 | 显示全部楼层
非等差的三个蔡氏偶数分拆存在

设 10 <= 2m=素数p1+素数p2,

设 150C =600,3600,5400,

则 2m+150 =素数p1+素数(150+p2) 与 2m+150C =素数p1+素数(150C+p2) 均有解,
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 楼主| 发表于 2022-1-10 05:52 | 显示全部楼层
非等差的三个蔡氏偶数分拆存在

设 10 <= 2m=素数p1+素数p2,

设 30C =300,600,2700,3600,3900,6000,7200,9000,

则 2m+30 =素数p1+素数(30+p2) 与 2m+30C =素数p1+素数(30C+p2) 均有解,
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 楼主| 发表于 2022-1-10 05:54 | 显示全部楼层
非等差的三个蔡氏偶数分拆存在

设 10 <= 2m=素数p1+素数p2,

设 60C =3300,3900,4500,6000,7200,9000,

则 2m+60 =素数p1+素数(60+p2) 与 2m+60C =素数p1+素数(60C+p2) 均有解,
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 楼主| 发表于 2022-1-10 16:14 | 显示全部楼层
其实,我的应该是漏了几个30C 的值,我提供的:不只是30的倍数,

而是直接用300(三百)的倍数,不过,我不想再去寻找那些遗漏了的30C 了。
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 楼主| 发表于 2022-1-10 16:24 | 显示全部楼层
非等差的三个蔡氏偶数分拆存在

设 10 <= 2m=素数p1+素数p2,

设 90C =360,720,900,1440,1980,3600,3870,4500,
5220,5400,5850,6030,7470,9000,......

则 2m+90 =素数p1+素数(90+p2) 与 2m+90C =素数p1+素数(90C+p2) 均有解,

此题中的 90C 的数值是由《数论探秘》的作者王彦会 提供并验证,致谢!

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 楼主| 发表于 2022-1-11 20:34 | 显示全部楼层
【用梅森数寻找更大的素数】

  (2^31 -1)+30^42

=109418989131512359209000000000000000000000000000000002147483647 是质数,


  (2^61 -1)+60^76

=1378780171651366161507966645751834862872575408962976413122560000000000000000000000000000000000000000000000000000000002305843009213693951 是质数,


点评

ysr
2147483647是素数,2305843009213693951也是素数。  发表于 2022-1-12 22:23
ysr
经过验证,都是素数,的确是素数。  发表于 2022-1-12 22:21
ysr
这两个数都很大,一个63位,一个136位,怎么做到的,厉害了!  发表于 2022-1-12 22:16
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发表于 2022-1-15 23:22 | 显示全部楼层
2022-01-15 23:22:36
\(2^{31} - 1 + {30}^{12}\) 是质数
\(2^{31} - 1 + {30}^{42}\) 是质数
\(2^{31} - 1 + {30}^{64}\) 是质数
用时 0.5530314445495605 秒
2022-01-15 23:23:30
\(2^{61} - 1 + {60}^{16}\) 是质数
\(2^{61} - 1 + {60}^{76}\) 是质数
\(2^{61} - 1 + {60}^{172}\) 是质数
\(2^{61} - 1 + {60}^{408}\) 是质数
用时 24.390394687652588 秒
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发表于 2022-1-15 23:27 | 显示全部楼层
2022-01-15 23:28:05
\(2^{91} - 1 + {90}^{16}\) 是质数
\(2^{91} - 1 + {90}^{332}\) 是质数
用时 58.72235870361328 秒
不用梅森数也可以。
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发表于 2022-1-15 23:44 | 显示全部楼层
2022-01-15 23:47:07
\(2^{51} - 1 + {50}^{2}\) 是质数
\(2^{51} - 1 + {50}^{4}\) 是质数
\(2^{51} - 1 + {50}^{14}\) 是质数
\(2^{51} - 1 + {50}^{126}\) 是质数
\(2^{51} - 1 + {50}^{132}\) 是质数
\(2^{51} - 1 + {50}^{310}\) 是质数
\(2^{51} - 1 + {50}^{440}\) 是质数
用时 44.943570613861084 秒
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