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A261152 a(n) =  161004359399459161 + (n-1)*10644900609172830. 0
161004359399459161, 171649260008631991, 182294160617804821, 192939061226977651, 203583961836150481, 214228862445323311, 224873763054496141, 235518663663668971, 246163564272841801, 256808464882014631, 267453365491187461, 278098266100360291, 288743166709533121 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The terms n = 1..26 are prime. This is the longest and largest sequence of primes in arithmetic progression, a(26)=427126874628779911, known as of August 10, 2015.

LINKS

Table of n, a(n) for n=1..13.

Jens Kruse Andersen, All known AP24 to AP26.

Wikipedia, Largest known primes in AP.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 161004359399459161 + (n-1)*47715109*A002110(9).

G.f.: x*(161004359399459161 - 150359458790286331*x)/(1 - x)^2. [Bruno Berselli, Aug 23 2015]

EXAMPLE

a(26) = 161004359399459161 + 25*10644900609172830 = 427126874628779911 is prime.

MATHEMATICA

Table[161004359399459161 + (n - 1) 10644900609172830, {n, 1, 20}] (* Bruno Berselli, Aug 23 2015 *)

PROG

(MAGMA) [161004359399459161+(n-1)*10644900609172830: n in [1..20]]; // Bruno Berselli, Aug 23 2015

CROSSREFS

Cf. A002110, A204189, A260751.

Sequence in context: A317259 A317914 A317255 * A292634 A308287 A295740

Adjacent sequences:  A261149 A261150 A261151 * A261153 A261154 A261155

KEYWORD

nonn,easy

AUTHOR

Marco Ripà, Aug 10 2015

STATUS

approved

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Last modified May 26 09:27 EDT 2019. Contains 323579 sequences. (Running on oeis4.)