A323536 Primes p such that p - k and p + k have the same number of prime factors (with multiplicity), for k = 1..7.

91289867, 247780811, 350499731, 353523083, 394923913, 418273259, 441459853, 452876747, 645159257, 702723851, 718541749, 728741617, 729758423, 776424947, 791860151, 1191670069, 1289075413, 1457951063, 1508119211, 1527473449, 1563808777, 1568639509, 1611010391, 1662823523, 1705045429, 1801303463, 1856184949, 1869622537, 1973952949, 2003664181, 2185051189, 2204016173, 2310441383, 2331375133, 2439952297, 2448065387

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Formula

{primes p: A001222(p-k)=A001222(p+k) for all k=1..7}.

Example

p=91289867 is in the sequence because A001222(p-1)=A001222(p+1) = 4, A001222(p-2)=A001222(p+2)=3, A001222(p-3)=A001222(p+3)=5 etc, pairwise equal.

Crossrefs

Subsequence of A323498.

Cf. A115103.

Sequence in context: A069318 A172573 A015367 * A216009 A034643 A186051

Adjacent sequences: A323533 A323534 A323535 * A323537 A323538 A323539

Keyword

nonn

Author

Zak Seidov, Jan 17 2019

Status

approved