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 A271080 Integers n such that s(n) = 7523267 + 11184810*n and s(n) + 14 are consecutive primes. 1
 8, 16, 82, 101, 132, 187, 201, 253, 265, 300, 318, 351, 393, 408, 429, 449, 474, 489, 508, 660, 662, 673, 687, 772, 869, 877, 880, 924, 945, 958, 963, 984, 1028, 1042, 1070, 1083, 1124, 1134, 1226, 1249, 1257, 1265, 1319, 1340, 1345, 1352, 1365, 1389, 1463, 1664, 1816, 1834, 1878, 1969 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS s(n) and s(n) + 14 are always Sierpiński numbers for n >= 0. Motivation was the this question: What are the consecutive Sierpiński numbers with 14 difference that are also consecutive primes? See A270971 and A270993 for the reason of "14" that definition focuses on. How is the graph of this sequence for larger values of n? LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE 8 is a term because 7523267 + 11184810*8 = 97001747 and 97001761 are consecutive (provable) Sierpiński numbers and they are also consecutive primes. MATHEMATICA Select[Range@ 2000, And[PrimeQ@ #, NextPrime@ # == # + 14] &@(7523267 + 11184810 #) &] (* Michael De Vlieger, Mar 30 2016 *) PROG (PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(s=7523267 + 11184810*n) && nextprime(s+1) == (s+14), print1(n, ", "))); (PARI) is(n)=my(s=11184810*n+7523267); isprime(s) && isprime(s+14) && !isprime(s+6) && !isprime(s+12) \\ Charles R Greathouse IV, Mar 31 2016 CROSSREFS Cf. A076336, A270971, A270993. Sequence in context: A157164 A131539 A331419 * A117868 A291001 A062508 Adjacent sequences:  A271077 A271078 A271079 * A271081 A271082 A271083 KEYWORD nonn AUTHOR Altug Alkan, Mar 30 2016 STATUS approved

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Last modified September 18 16:05 EDT 2020. Contains 337169 sequences. (Running on oeis4.)