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

Author

Charles R Greathouse IV, Oct 24 2022

Keywords

• nonn

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).

Programs

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)