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A317914 a(n) = 142099325379199423 + (n-1)*3691994023167450. 0
142099325379199423, 145791319402366873, 149483313425534323, 153175307448701773, 156867301471869223, 160559295495036673, 164251289518204123, 167943283541371573, 171635277564539023, 175327271587706473, 179019265610873923 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The terms for n = 1..26 are prime. As of Aug 10 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.
FORMULA
a(n) = 142099325379199423 + a(n-1)*16549135*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.
EXAMPLE
a(26) = 142099325379199423 + 25*16549135*223092870 = 234399175958385673 is prime.
MAPLE
seq(142099325379199423+(n-1)*3691994023167450, n=1..26);
MATHEMATICA
Table[142099325379199423 + (n - 1) 3691994023167450, {n, 1, 26}]
PROG
(GAP) List([1..26], n->142099325379199423+(n-1)*3691994023167450);
CROSSREFS
Sequence in context: A011530 A198801 A317259 * A317255 A261152 A292634
KEYWORD
easy,nonn
AUTHOR
Marco Ripà, Aug 10 2018
STATUS
approved

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)