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 A261149 a(n) = 515486946529943 + (n-1)*30526020494970. 1
 515486946529943, 546012967024913, 576538987519883, 607065008014853, 637591028509823, 668117049004793, 698643069499763, 729169089994733, 759695110489703, 790221130984673, 820747151479643, 851273171974613, 881799192469583, 912325212964553, 942851233459523 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The terms n = 1..24 are prime. This is the longest known sequence of 24 primes in arithmetic progression with minimal end known as of August 10, 2015. LINKS Colin Barker, Table of n, a(n) for n = 1..1000 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) = 515486946529943 + (n-1)*136831*A002110(9). G.f.: -x*(484960926034973*x-515486946529943) / (x-1)^2. - Colin Barker, Aug 25 2015 EXAMPLE a(24) = 515486946529943 + 23*30526020494970 = 1217585417914253 is prime. MATHEMATICA Table[515486946529943 + (n - 1) 30526020494970, {n, 1, 20}] PROG (Sage) [515486946529943+(n-1)*30526020494970 for n in (1..20)] # (Magma) [515486946529943+(n-1)*30526020494970: n in [1..20]]; (PARI) Vec(-x*(484960926034973*x-515486946529943)/(x-1)^2 + O(x^40)) \\ Colin Barker, Aug 25 2015 CROSSREFS Cf. A005115, A002110, A204189. Sequence in context: A172665 A172601 A086438 * A104873 A297450 A172585 Adjacent sequences: A261146 A261147 A261148 * A261150 A261151 A261152 KEYWORD nonn,easy AUTHOR Marco Ripà, Aug 10 2015 STATUS approved

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Last modified June 22 04:21 EDT 2024. Contains 373561 sequences. (Running on oeis4.)