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A216177 Primes p=prime(i) of level (1,4), i.e., such that A118534(i) = prime(i-4). 1
6581, 7963, 13063, 14107, 17053, 17627, 20563, 21347, 22193, 22877, 28319, 30727, 34981, 35171, 41549, 42101, 45197, 46103, 48823, 53201, 53899, 56269, 65449, 65993, 66191, 69031, 69403, 73613, 74101, 74323 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If the i-th prime p(i) has level 1 in A117563 and 2 p(i) - p(i+1) = p(i-k), then we say that p(i) has level(1,k).

Subsequence of A125830 and of A162174.

LINKS

Fabien Sibenaler, Table of n, a(n) for n = 1..10000

EXAMPLE

a(n) = 7963 = prime(1006);

2*prime(1006) - prime(1007) = prime(1002);

2*7963 - 7993 = 7933.

MATHEMATICA

With[{m = 4}, Prime@ Select[Range[m + 1, 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: A031759 A145050 A256837 * A186563 A252637 A164971

Adjacent sequences:  A216174 A216175 A216176 * A216178 A216179 A216180

KEYWORD

nonn

AUTHOR

Fabien Sibenaler, Mar 10 2013

STATUS

approved

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Last modified August 16 23:58 EDT 2018. Contains 313809 sequences. (Running on oeis4.)