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 A216180 Primes p=prime(i) of level (1,6), i.e., such that A118534(i) = prime(i-6). 1
 15823, 21617, 31277, 43331, 65731, 97883, 100853, 120947, 265277, 318023, 320953, 361241, 362759, 419831, 422141, 426799, 452549, 465211, 482441, 491539, 504403, 513533, 526781, 540391, 551597, 557093, 575261, 582251, 598729, 649093, 654629, 663601, 678779, 782723 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If prime(i) has level 1 in A117563 and 2*prime(i) - prime(i+1) = prime(i-k), then we say that prime(i) has level (1,k). LINKS Fabien Sibenaler, Table of n, a(n) for n = 1..10000 EXAMPLE 31277 = prime(3373) is a term because 2*prime(3373) - prime(3374) = 2*31277 - 31307 = 31247 = prime(3367). MATHEMATICA With[{m = 6}, Prime@ Select[Range[m + 1, 5*10^4], If[MemberQ[{1, 2, 4}, #], 0, 2 Prime[#] - Prime[# + 1]] == Prime[# - m] &]] (* Michael De Vlieger, Jul 16 2017 *) PROG (PARI) lista(nn) = my(c=7, v=primes(7)); forprime(p=19, nn, if(2*v[c]-p==v[c=c%7+1], print1(precprime(p-1), ", ")); v[c]=p); \\ Jinyuan Wang, Jun 18 2021 CROSSREFS Subsequence of A125830 and of A162174. Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467, A119402, A119403, A119404, A125565, A125572, A125574, A125576, A125623. Sequence in context: A116493 A061733 A229643 * A112450 A063847 A367231 Adjacent sequences: A216177 A216178 A216179 * A216181 A216182 A216183 KEYWORD nonn AUTHOR Fabien Sibenaler, Mar 10 2013 STATUS approved

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Last modified June 20 10:31 EDT 2024. Contains 373516 sequences. (Running on oeis4.)