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

Author

Charles R Greathouse IV, Oct 24 2022

Keywords

• nonn

Comments

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

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).

Programs

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)