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