A052163 Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.

347, 641, 1277, 1607, 2237, 2267, 2657, 3527, 3671, 3917, 4001, 4127, 4637, 4931, 4967, 5477, 5501, 6197, 8087, 8231, 8537, 8861, 9461, 10331, 10427, 11171, 11777, 12107, 12917, 13757, 13901, 14081, 14321, 14627, 17027, 18251, 19991, 20477

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

641 is in the sequence because 641 + 2 = 643, 641 + 2 + 4 = 647 is prime, the prime prior to 641 is 631, the prime after 647 is 653, and the corresponding differences are 10 or 6. The d-pattern is {10,2,4,6}.

Maple

P:= select(isprime, [2, seq(i, i=3..3*10^7, 2)]):
G:= P[2..-1]-P[1..-2]:
J:=select(i -> G[i-1] >= 6 and G[i] = 2 and G[i+1] = 4 and G[i+2] >= 6, [$2..nops(G)-2]):
P[J]; # Robert Israel, Oct 10 2025

Crossrefs

Cf. A001223, A052160, A052162-A052168, A022008, A047078.

Sequence in context: A059074 A273805 A142907 * A210363 A054823 A343701

Adjacent sequences: A052160 A052161 A052162 * A052164 A052165 A052166

Keyword

nonn

Author

Labos Elemer, Jan 26 2000

Status

approved