A358019 Numbers m such that the factorizations of m..m+10 have the same number of primes (including multiplicities).

202536181, 913535284, 1124342785, 1443929905, 1587749041, 1688485665, 1733574769, 2090053141, 2308638625, 2403102228, 2751673525, 2841766801, 2898584161, 2936217602, 3195380868, 3195380869, 3324630612, 3423884341, 3520752468

Offset

1,1

Comments

a(111) = 21117216104 is the first term where the number of primes is 5. - Zak Seidov and Robert Israel, Jun 27 2024

Links

Table of n, a(n) for n=1..19.

Prog

(PARI) list(lim)=my(v=List(), ct, cur); forfactored(n=202536181, lim\1+10, my(t=bigomega(n)); if(t==cur, if(ct++>9, listput(v, n[1]-10)), 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), A358018 (k=9), this sequence (k=10).

Sequence in context: A015368 A317287 A132205 * A015427 A078249 A243363

Adjacent sequences: A358016 A358017 A358018 * A358020 A358021 A358022

Keyword

nonn

Author

Charles R Greathouse IV, Oct 24 2022

Status

approved