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A358018
Numbers m such that the factorizations of m..m+9 have the same number of primes (including multiplicities).
11
49799889, 60975410, 92017202, 202536181, 202536182, 249221990, 284007602, 314623105, 326857970, 331212422, 405263521, 421980949, 476360643, 506580949, 520309427, 532896662, 572636822, 666966962, 703401061, 749908502, 816533270
OFFSET
1,1
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
KEYWORD
nonn
AUTHOR
STATUS
approved