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哥德巴赫猜想解的个数的绝对下限

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 楼主| 发表于 2021-12-28 18:27 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 09:21 编辑

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 楼主| 发表于 2021-12-28 19:08 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 10:19 编辑

10000内有30396组蔡氏偶数有1750个不同的偶数2m=8p1=3p2=5p3=11p4=13
2m=8p1=5p2=3p3=13p4=11
2m=10p1=3p2=7p3=13p4=17
2m=10p1=7p2=3p3=17p4=13
2m=12p1=5p2=7p3=17p4=19
2m=12p1=7p2=5p3=19p4=17
2m=16p1=3p2=13p3=19p4=29
2m=16p1=13p2=3p3=29p4=19
2m=18p1=5p2=13p3=23p4=31
2m=18p1=13p2=5p3=31p4=23
2m=20p1=3p2=17p3=23p4=37
2m=20p1=17p2=3p3=37p4=23
2m=24p1=5p2=19p3=29p4=43
2m=24p1=7p2=17p3=31p4=41
2m=24p1=17p2=7p3=41p4=31
2m=24p1=19p2=5p3=43p4=29
2m=30p1=7p2=23p3=37p4=53
2m=30p1=13p2=17p3=43p4=47
2m=30p1=17p2=13p3=47p4=43
2m=30p1=23p2=7p3=53p4=37
2m=36p1=5p2=31p3=41p4=67
2m=36p1=31p2=5p3=67p4=41
2m=42p1=5p2=37p3=47p4=79
2m=42p1=11p2=31p3=53p4=73
2m=42p1=31p2=11p3=73p4=53
2m=42p1=37p2=5p3=79p4=47
2m=50p1=3p2=47p3=53p4=97
2m=50p1=47p2=3p3=97p4=53
2m=54p1=7p2=47p3=61p4=101
2m=54p1=47p2=7p3=101p4=61
2m=56p1=3p2=53p3=59p4=109
2m=56p1=53p2=3p3=109p4=59
2m=60p1=7p2=53p3=67p4=113
2m=60p1=13p2=47p3=73p4=107
2m=60p1=19p2=41p3=79p4=101
2m=60p1=23p2=37p3=83p4=97
2m=60p1=37p2=23p3=97p4=83
2m=60p1=41p2=19p3=101p4=79
2m=60p1=47p2=13p3=107p4=73
2m=60p1=53p2=7p3=113p4=67
2m=66p1=5p2=61p3=71p4=127
2m=66p1=23p2=43p3=89p4=109
2m=66p1=43p2=23p3=109p4=89
2m=66p1=61p2=5p3=127p4=71
2m=70p1=3p2=67p3=73p4=137
2m=70p1=67p2=3p3=137p4=73
2m=72p1=31p2=41p3=103p4=113
2m=72p1=41p2=31p3=113p4=103
2m=76p1=3p2=73p3=79p4=149
2m=76p1=73p2=3p3=149p4=79
2m=78p1=5p2=73p3=83p4=151
2m=78p1=19p2=59p3=97p4=137
2m=78p1=59p2=19p3=137p4=97
2m=78p1=73p2=5p3=151p4=83
2m=84p1=5p2=79p3=89p4=163
2m=84p1=17p2=67p3=101p4=151
2m=84p1=67p2=17p3=151p4=101
2m=84p1=79p2=5p3=163p4=89
2m=90p1=7p2=83p3=97p4=173
2m=90p1=17p2=73p3=107p4=163
2m=90p1=23p2=67p3=113p4=157
2m=90p1=67p2=23p3=157p4=113
2m=90p1=73p2=17p3=163p4=107
2m=90p1=83p2=7p3=173p4=97
2m=96p1=13p2=83p3=109p4=179
2m=96p1=43p2=53p3=139p4=149
2m=96p1=53p2=43p3=149p4=139
2m=96p1=83p2=13p3=179p4=109
2m=100p1=3p2=97p3=103p4=197
2m=100p1=97p2=3p3=197p4=103
2m=102p1=5p2=97p3=107p4=199
2m=102p1=97p2=5p3=199p4=107
2m=108p1=5p2=103p3=113p4=211
2m=108p1=19p2=89p3=127p4=197
2m=108p1=89p2=19p3=197p4=127
2m=108p1=103p2=5p3=211p4=113
2m=114p1=17p2=97p3=131p4=211
2m=114p1=97p2=17p3=211p4=131
2m=120p1=7p2=113p3=127p4=233
2m=120p1=11p2=109p3=131p4=229
2m=120p1=17p2=103p3=137p4=223
2m=120p1=47p2=73p3=167p4=193
2m=120p1=59p2=61p3=179p4=181
2m=120p1=61p2=59p3=181p4=179
2m=120p1=73p2=47p3=193p4=167
2m=120p1=103p2=17p3=223p4=137
2m=120p1=109p2=11p3=229p4=131
2m=120p1=113p2=7p3=233p4=127
2m=126p1=13p2=113p3=139p4=239
2m=126p1=23p2=103p3=149p4=229
2m=126p1=53p2=73p3=179p4=199
2m=126p1=73p2=53p3=199p4=179
2m=126p1=103p2=23p3=229p4=149
2m=126p1=113p2=13p3=239p4=139
2m=132p1=31p2=101p3=163p4=233
2m=132p1=101p2=31p3=233p4=163
2m=144p1=5p2=139p3=149p4=283
2m=144p1=7p2=137p3=151p4=281
2m=144p1=37p2=107p3=181p4=251
2m=144p1=47p2=97p3=191p4=241
2m=144p1=97p2=47p3=241p4=191
2m=144p1=107p2=37p3=251p4=181
2m=144p1=137p2=7p3=281p4=151
2m=144p1=139p2=5p3=283p4=149
2m=150p1=23p2=127p3=173p4=277
2m=150p1=43p2=107p3=193p4=257
2m=150p1=61p2=89p3=211p4=239
2m=150p1=89p2=61p3=239p4=211
2m=150p1=107p2=43p3=257p4=193
2m=150p1=127p2=23p3=277p4=173
2m=156p1=43p2=113p3=199p4=269
2m=156p1=73p2=83p3=229p4=239
2m=156p1=83p2=73p3=239p4=229
2m=156p1=113p2=43p3=269p4=199
2m=160p1=3p2=157p3=163p4=317
2m=160p1=157p2=3p3=317p4=163
2m=162p1=11p2=151p3=173p4=313
2m=162p1=31p2=131p3=193p4=293
2m=162p1=61p2=101p3=223p4=263
2m=162p1=101p2=61p3=263p4=223
2m=162p1=131p2=31p3=293p4=193
2m=162p1=151p2=11p3=313p4=173
2m=168p1=5p2=163p3=173p4=331
2m=168p1=29p2=139p3=197p4=307
2m=168p1=59p2=109p3=227p4=277
2m=168p1=109p2=59p3=277p4=227
2m=168p1=139p2=29p3=307p4=197
2m=168p1=163p2=5p3=331p4=173
2m=170p1=3p2=167p3=173p4=337
2m=170p1=167p2=3p3=337p4=173
2m=174p1=17p2=157p3=191p4=331
2m=174p1=37p2=137p3=211p4=311
2m=174p1=67p2=107p3=241p4=281
2m=174p1=107p2=67p3=281p4=241
2m=174p1=137p2=37p3=311p4=211
2m=174p1=157p2=17p3=331p4=191
2m=176p1=3p2=173p3=179p4=349
2m=176p1=173p2=3p3=349p4=179
2m=180p1=13p2=167p3=193p4=347
2m=180p1=43p2=137p3=223p4=317
2m=180p1=53p2=127p3=233p4=307
2m=180p1=83p2=97p3=263p4=277
2m=180p1=97p2=83p3=277p4=263
2m=180p1=127p2=53p3=307p4=233
2m=180p1=137p2=43p3=317p4=223
2m=180p1=167p2=13p3=347p4=193
2m=186p1=5p2=181p3=191p4=367
2m=186p1=13p2=173p3=199p4=359
2m=186p1=173p2=13p3=359p4=199
2m=186p1=181p2=5p3=367p4=191
2m=196p1=3p2=193p3=199p4=389
2m=196p1=193p2=3p3=389p4=199
2m=198p1=59p2=139p3=257p4=337
2m=198p1=139p2=59p3=337p4=257
2m=204p1=7p2=197p3=211p4=401
2m=204p1=197p2=7p3=401p4=211
2m=210p1=19p2=191p3=229p4=401
2m=210p1=31p2=179p3=241p4=389
2m=210p1=47p2=163p3=257p4=373
2m=210p1=53p2=157p3=263p4=367
2m=210p1=61p2=149p3=271p4=359
2m=210p1=71p2=139p3=281p4=349
2m=210p1=73p2=137p3=283p4=347
2m=210p1=83p2=127p3=293p4=337
2m=210p1=103p2=107p3=313p4=317
2m=210p1=107p2=103p3=317p4=313
2m=210p1=127p2=83p3=337p4=293
2m=210p1=137p2=73p3=347p4=283
2m=210p1=139p2=71p3=349p4=281
2m=210p1=149p2=61p3=359p4=271
2m=210p1=157p2=53p3=367p4=263
2m=210p1=163p2=47p3=373p4=257
2m=210p1=179p2=31p3=389p4=241
2m=210p1=191p2=19p3=401p4=229
2m=216p1=23p2=193p3=239p4=409
2m=216p1=53p2=163p3=269p4=379
2m=216p1=163p2=53p3=379p4=269
2m=216p1=193p2=23p3=409p4=239
2m=222p1=11p2=211p3=233p4=433
2m=222p1=71p2=151p3=293p4=373
2m=222p1=151p2=71p3=373p4=293
2m=222p1=211p2=11p3=433p4=233
2m=226p1=3p2=223p3=229p4=449
2m=226p1=223p2=3p3=449p4=229
2m=228p1=89p2=139p3=317p4=367
2m=228p1=139p2=89p3=367p4=317
2m=230p1=3p2=227p3=233p4=457
2m=230p1=227p2=3p3=457p4=233
2m=234p1=5p2=229p3=239p4=463
2m=234p1=7p2=227p3=241p4=461
2m=234p1=37p2=197p3=271p4=431
2m=234p1=197p2=37p3=431p4=271
2m=234p1=227p2=7p3=461p4=241
2m=234p1=229p2=5p3=463p4=239
2m=240p1=17p2=223p3=257p4=463
2m=240p1=41p2=199p3=281p4=439
2m=240p1=113p2=127p3=353p4=367
2m=240p1=127p2=113p3=367p4=353
2m=240p1=199p2=41p3=439p4=281
2m=240p1=223p2=17p3=463p4=257
2m=246p1=5p2=241p3=251p4=487
2m=246p1=241p2=5p3=487p4=251
2m=252p1=41p2=211p3=293p4=463
2m=252p1=61p2=191p3=313p4=443
2m=252p1=191p2=61p3=443p4=313
2m=252p1=211p2=41p3=463p4=293
2m=258p1=59p2=199p3=317p4=457
2m=258p1=199p2=59p3=457p4=317
2m=264p1=7p2=257p3=271p4=521
2m=264p1=67p2=197p3=331p4=461
2m=264p1=197p2=67p3=461p4=331
2m=264p1=257p2=7p3=521p4=271
2m=270p1=37p2=233p3=307p4=503
2m=270p1=41p2=229p3=311p4=499
2m=270p1=79p2=191p3=349p4=461
2m=270p1=97p2=173p3=367p4=443
2m=270p1=131p2=139p3=401p4=409
2m=270p1=139p2=131p3=409p4=401
2m=270p1=173p2=97p3=443p4=367
2m=270p1=191p2=79p3=461p4=349
2m=270p1=229p2=41p3=499p4=311
2m=270p1=233p2=37p3=503p4=307
2m=276p1=5p2=271p3=281p4=547
2m=276p1=103p2=173p3=379p4=449
2m=276p1=113p2=163p3=389p4=439
2m=276p1=163p2=113p3=439p4=389
2m=276p1=173p2=103p3=449p4=379
2m=276p1=271p2=5p3=547p4=281
2m=280p1=3p2=277p3=283p4=557
2m=280p1=277p2=3p3=557p4=283
2m=282p1=101p2=181p3=383p4=463
2m=282p1=181p2=101p3=463p4=383
2m=288p1=5p2=283p3=293p4=571
2m=288p1=19p2=269p3=307p4=557
2m=288p1=109p2=179p3=397p4=467
2m=288p1=179p2=109p3=467p4=397
2m=288p1=269p2=19p3=557p4=307
2m=288p1=283p2=5p3=571p4=293
2m=294p1=17p2=277p3=311p4=571
2m=294p1=127p2=167p3=421p4=461
2m=294p1=167p2=127p3=461p4=421
2m=294p1=277p2=17p3=571p4=311
2m=300p1=7p2=293p3=307p4=593
2m=300p1=31p2=269p3=331p4=569
2m=300p1=37p2=263p3=337p4=563
2m=300p1=59p2=241p3=359p4=541
2m=300p1=101p2=199p3=401p4=499
2m=300p1=109p2=191p3=409p4=491
2m=300p1=191p2=109p3=491p4=409
2m=300p1=199p2=101p3=499p4=401
2m=300p1=241p2=59p3=541p4=359
2m=300p1=263p2=37p3=563p4=337
2m=300p1=269p2=31p3=569p4=331
2m=300p1=293p2=7p3=593p4=307
2m=306p1=43p2=263p3=349p4=569
2m=306p1=113p2=193p3=419p4=499
2m=306p1=193p2=113p3=499p4=419
2m=306p1=263p2=43p3=569p4=349
2m=310p1=3p2=307p3=313p4=617
2m=310p1=307p2=3p3=617p4=313
2m=312p1=5p2=307p3=317p4=619
2m=312p1=61p2=251p3=373p4=563
2m=312p1=251p2=61p3=563p4=373
2m=312p1=307p2=5p3=619p4=317
2m=318p1=79p2=239p3=397p4=557
2m=318p1=239p2=79p3=557p4=397
2m=324p1=7p2=317p3=331p4=641
2m=324p1=317p2=7p3=641p4=331
2m=330p1=17p2=313p3=347p4=643
2m=330p1=19p2=311p3=349p4=641
2m=330p1=53p2=277p3=383p4=607
2m=330p1=59p2=271p3=389p4=601
2m=330p1=67p2=263p3=397p4=593
2m=330p1=89p2=241p3=419p4=571
2m=330p1=103p2=227p3=433p4=557
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 楼主| 发表于 2021-12-28 19:09 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 10:21 编辑

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 楼主| 发表于 2021-12-28 19:11 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 10:44 编辑


6 <2m <= 10000 有(  1750      )个蔡氏偶数?
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发表于 2021-12-28 20:10 | 显示全部楼层
6 <2m <= 10000 有( 1821 )个蔡氏偶数,占比:1821*2/10000=0.364

程序显示:2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

10000 <2m <= 20000 有(         )个蔡氏偶数,占比:( 1821+     )*2/20000=

20000 <2m <= 30000 有(         )个蔡氏偶数,占比:
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 楼主| 发表于 2021-12-28 20:59 | 显示全部楼层
本帖最后由 ysr 于 2021-12-31 08:36 编辑


6 <2m <= 10000 有( 1750 )个蔡氏偶数,占比:1821*2/10000=0.364

程序显示:2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

10000 <2m <= 20000 有( 1727        )个蔡氏偶数,占比:( 1750+   1727  )*2/20000=0.3477
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发表于 2021-12-28 21:09 | 显示全部楼层
友情提示:34=37-3,64=67-3 等等不是解!

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是的,  发表于 2021-12-28 21:23
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 楼主| 发表于 2021-12-29 04:57 | 显示全部楼层
本帖最后由 ysr 于 2021-12-31 08:38 编辑


20000 <2m <= 30000 有( 1723        )个蔡氏偶数,占比:(1750+1727+1723)*2/30000=0.3466667.
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 楼主| 发表于 2021-12-29 04:58 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 13:10 编辑

10000~20000内有57654组蔡氏偶数有1727个不同的偶数2m=10002p1=191p2=9811p3=10193p4=19813
2m=10002p1=991p2=9011p3=10993p4=19013
2m=10002p1=1481p2=8521p3=11483p4=18523
2m=10002p1=3041p2=6961p3=13043p4=16963
2m=10002p1=3511p2=6491p3=13513p4=16493
2m=10002p1=4421p2=5581p3=14423p4=15583
2m=10002p1=4561p2=5441p3=14563p4=15443
2m=10002p1=5441p2=4561p3=15443p4=14563
2m=10002p1=5581p2=4421p3=15583p4=14423
2m=10002p1=6491p2=3511p3=16493p4=13513
2m=10002p1=6961p2=3041p3=16963p4=13043
2m=10002p1=8521p2=1481p3=18523p4=11483
2m=10002p1=9011p2=991p3=19013p4=10993
2m=10002p1=9811p2=191p3=19813p4=10193
2m=10008p1=239p2=9769p3=10247p4=19777
2m=10008p1=4729p2=5279p3=14737p4=15287
2m=10008p1=5279p2=4729p3=15287p4=14737
2m=10008p1=9769p2=239p3=19777p4=10247
2m=10014p1=2477p2=7537p3=12491p4=17551
2m=10014p1=2707p2=7307p3=12721p4=17321
2m=10014p1=4937p2=5077p3=14951p4=15091
2m=10014p1=5077p2=4937p3=15091p4=14951
2m=10014p1=7307p2=2707p3=17321p4=12721
2m=10014p1=7537p2=2477p3=17551p4=12491
2m=10020p1=47p2=9973p3=10067p4=19993
2m=10020p1=79p2=9941p3=10099p4=19961
2m=10020p1=113p2=9907p3=10133p4=19927
2m=10020p1=149p2=9871p3=10169p4=19891
2m=10020p1=239p2=9781p3=10259p4=19801
2m=10020p1=281p2=9739p3=10301p4=19759
2m=10020p1=509p2=9511p3=10529p4=19531
2m=10020p1=607p2=9413p3=10627p4=19433
2m=10020p1=883p2=9137p3=10903p4=19157
2m=10020p1=953p2=9067p3=10973p4=19087
2m=10020p1=1237p2=8783p3=11257p4=18803
2m=10020p1=1423p2=8597p3=11443p4=18617
2m=10020p1=1447p2=8573p3=11467p4=18593
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 楼主| 发表于 2021-12-29 04:58 | 显示全部楼层
本帖最后由 ysr 于 2021-12-29 12:59 编辑

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