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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If the i-th prime 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).

Subsequence of A125830 and of A162174.

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) = prime(3367);

2*31277 - 31307 = 31247.

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 *)

CROSSREFS

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 A265669

Adjacent sequences:  A216177 A216178 A216179 * A216181 A216182 A216183

KEYWORD

nonn

AUTHOR

Fabien Sibenaler, Mar 10 2013

STATUS

approved

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Last modified November 14 01:24 EST 2019. Contains 329108 sequences. (Running on oeis4.)