A255193 Numbers n such that prime(n) + 1, ..., prime(n + 5) + 1 have the same number of prime divisors (with multiplicity).

5462, 8411, 9792, 12507, 16309, 16310, 20523, 21702, 21980, 39585, 39586, 40472, 40473, 43191, 50174, 51293, 57896, 61666, 87269, 87270, 99076, 104353, 104354, 110287, 122432, 127103, 134698, 134699, 141220, 142203, 152287

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

n=5462, 1+{prime(n),...,prime(n+5)} = 1+{53609,53611,53617,53623,53629,53633} = {53610,53612,53618,53624,53630,53634} = {2*3*5*1787, 2*2*13*1031, 2*17*19*83, 2*2*2*6703, 2*5*31*173, 2*3*7*1277, all products of 4 primes.

Prog

(PARI) is(n)=my(p=prime(n), t=bigomega(p+1)); for(i=1, 5, p=nextprime(p+1); if(bigomega(p+1)!=t, return(0))); 1 \\ Charles R Greathouse IV, Feb 16 2015

Crossrefs

Subsequence of A255173.

Sequence in context: A069311 A258128 A022205 * A231269 A232037 A202776

Adjacent sequences: A255190 A255191 A255192 * A255194 A255195 A255196

Keyword

nonn

Author

Zak Seidov, Feb 16 2015

Extensions

a(5)-a(13) corrected, a(14)-a(31) from Charles R Greathouse IV, Feb 16 2015

Status

approved