计衡砃计
紈瓣计厩產╢筽 (Peter Dirichlet 1805-1859)
(酚The MacTutor History of Mathematics Achievehttp://www-gap.dcs.st-and.ac.uk/~history/ )
┮孔衡砃计 (Arithmetic Sequence ┪ Arithmetic Progression) 嘿单畉计计い–綟ㄢ兜畉А妓
1, 3, 5, 7, ... 硂琌兜 1τそ畉 2 衡砃计
沮╢筽﹚瞶 (Dirichlet's Theorm)ヴ单畉计璶兜㎝そ畉が (Coprime ┪ Relatively Prime)讽い獽Τ礚计
ㄒ┏穦Τ礚ü计 (James Bond's Prime)程ソ琌 007 计
沮╢筽﹚瞶计 7, 1007, 2007, 3007, ... いΤ礚计计兜 7 籔そ畉 1000 が珿礚ü计
ü计 400760079007 单
┏Τぶ硈尿瞷计㎡衡砃计 (Prime Arithmetric Progression) 穦Τ礚㎡
癸パ计舱Θ衡砃计Τ砍届
计计 n |
そ畉 d |
兜 a |
ゼ兜 a+(n-1)d |
祇瞷 |
祇瞷 |
12 |
30030 |
23143 |
353473 |
1958 |
緗ゑひ (V. A. Golubev) |
13 |
510510 |
766439 |
6892559 |
1965 |
吹╨吹膀 (W. N. Seredonski) |
14 |
2462460 |
46883579 |
78895559 |
ぃ冈 |
ぃ冈 |
16 |
9699690 |
53297929 |
198793279 |
ぃ冈 |
ぃ冈 |
16 |
223092870 |
2236133941 |
5582526991 |
1969 |
璊獀 (Stephen C. Root) |
17 |
87297210 |
3430751869 |
4827507229 |
1977 |
放ゑ (S. Weintraub) |
18 |
717777060 |
4808316343 |
17010526363 |
ぃ冈 |
ゑ獀划疭 (Paul Pritchard) |
19 |
4180566390 |
8297644387 |
83547839407 |
ぃ冈 |
ゑ獀划疭 (Paul Pritchard) |
19 |
13608665070 |
244290205469 |
489246176729 |
1987 |
璖 (James Fry) |
20 |
2007835830 |
803467381001 |
841616261771 |
1987 |
璖 (James Fry) |
20 |
7643355720 |
1140997291211 |
1286221049891 |
1987 |
璖 (James Fry) |
20 |
18846497670 |
214861583621 |
572945039351 |
1987 |
法 (Jeffrey Young) / 璖 (James Fry) |
20 |
1140004565700 |
1845449006227 |
23505535754527 |
1990 |
集く (Moran) / ゑ獀划疭 (Paul Pritchard) |
20 |
19855265430 |
24845147147111 |
25222397190281 |
1990 |
集く (Moran) / ゑ獀划疭 (Paul Pritchard) |
21 |
1419763024680 |
142072321123 |
28537332814723 |
1990 |
集く (Moran) / ゑ獀划疭 (Paul Pritchard) |
22 |
4609098694200 |
11410337850553 |
108201410428753 |
1993 |
ゑ獀划疭 (Paul Pritchard) |
把σゅ膍の呼
Caldwell, C. K. "The Top Twenty: Arithmetic Progressions of Primes ." http://primes.utm.edu/top20/page.php?id=14.
Ribenboim, P. "The Little Book of Bigger Prime" , New York: Springer-Verlag, 1991
