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 A317164 a(n) = 55837783597462913 + (n-1)*13858932213216090. 3
 55837783597462913, 69696715810679003, 83555648023895093, 97414580237111183, 111273512450327273, 125132444663543363, 138991376876759453, 152850309089975543, 166709241303191633, 180568173516407723, 194427105729623813, 208286037942839903, 222144970156055993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The terms for n = 1..26 are prime. As of Jul 23 2018, this is one of the longest known sequences of primes in arithmetic progression. LINKS Jens Kruse Andersen, All known AP24 to AP26. B. Green and T. Tao, The primes contain arbitrarily long arithmetic progressions, Annals of Math. 167 (2008), 481-547. PrimeGrid, AP26 Search. Eric Weisstein's World of Mathematics, Prime Arithmetic Progression. Wikipedia, Primes in arithmetic progression. FORMULA a(n) = 455837783597462913 + a(n-1)*62121807*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870. EXAMPLE a(26) = 55837783597462913 + 25*62121807*223092870 = 402311088927865163 is prime. MAPLE seq(55837783597462913+(n-1)*13858932213216090, n=1..15); # Muniru A Asiru, Jul 24 2018 MATHEMATICA Table[55837783597462913 + (n - 1) 13858932213216090, {n, 1, 25}] PROG (GAP) List([1..25], n->55837783597462913+(n-1)*13858932213216090); # Muniru A Asiru, Jul 24 2018 CROSSREFS Cf. A002110, A204189, A260751, A261140, A317163. Sequence in context: A051167 A155057 A329223 * A083105 A246287 A115499 Adjacent sequences:  A317161 A317162 A317163 * A317165 A317166 A317167 KEYWORD nonn,easy AUTHOR Marco Ripà, Jul 23 2018 STATUS approved

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Last modified October 23 00:24 EDT 2020. Contains 337962 sequences. (Running on oeis4.)