A358018 Numbers m such that the factorizations of m..m+9 have the same number of primes (including multiplicities).

49799889, 60975410, 92017202, 202536181, 202536182, 249221990, 284007602, 314623105, 326857970, 331212422, 405263521, 421980949, 476360643, 506580949, 520309427, 532896662, 572636822, 666966962, 703401061, 749908502, 816533270

Offset

1,1

Links

Table of n, a(n) for n=1..21.

Prog

(PARI) list(lim)=my(v=List(), ct, cur); forfactored(n=49799889, lim\1+9, my(t=bigomega(n)); if(t==cur, if(ct++>8, listput(v, n[1]-9)), 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), A358017 (k=8), this sequence (k=9), A358019 (k=10).

Sequence in context: A017459 A017591 A271020 * A227797 A236947 A348069

Adjacent sequences: A358015 A358016 A358017 * A358019 A358020 A358021

Keyword

nonn

Author

Charles R Greathouse IV, Oct 24 2022

Status

approved