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Numbers m such that the factorizations of m..m+9 have the same number of primes (including multiplicities).
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%I #7 Feb 11 2023 22:40:41

%S 49799889,60975410,92017202,202536181,202536182,249221990,284007602,

%T 314623105,326857970,331212422,405263521,421980949,476360643,

%U 506580949,520309427,532896662,572636822,666966962,703401061,749908502,816533270

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

%o (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)

%Y 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).

%K nonn

%O 1,1

%A _Charles R Greathouse IV_, Oct 24 2022