A358017 Numbers m such that the factorizations of m..m+8 have the same number of primes (including multiplicities).

3405122, 12788342, 17521382, 21991382, 22715270, 22841702, 22914722, 23553171, 27451669, 27793334, 49361762, 49799889, 49799890, 50727123, 51359029, 52154450, 53758502, 57379970, 60975410, 60975411, 75638644, 76502870, 76724630, 85432322

Offset

1,1

Links

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

Prog

(PARI) list(lim)=my(v=List(), ct, cur); forfactored(n=3405122, lim\1+8, my(t=bigomega(n)); if(t==cur, if(ct++>7, listput(v, n[1]-8)), cur=t; ct=0)); Vec(v)

Crossrefs

Numbers m through m+k have the same number of prime divisors (with multiplicity): A045920 (k=1), A045939 (k=2), A045940 (k=3), A045941 (k=4), A045942 (k=5), A123103 (k=6), A123201 (k=7), this sequence (k=8), A358018 (k=9), A358019 (k=10).

Sequence in context: A114682 A157106 A123201 * A258517 A258510 A254997

Adjacent sequences: A358014 A358015 A358016 * A358018 A358019 A358020

Keyword

nonn

Author

Charles R Greathouse IV, Oct 24 2022

Status

approved