

A246371


Numbers n such that, if 2n1 = Product_{k >= 1} (p_k)^(c_k) then n > Product_{k >= 1} (p_{k1})^(c_k), where p_k indicates the kth prime, A000040(k).


14



5, 8, 11, 13, 14, 17, 18, 23, 28, 32, 38, 39, 41, 43, 50, 53, 58, 59, 61, 63, 68, 73, 74, 77, 83, 86, 88, 94, 95, 98, 104, 113, 116, 122, 123, 128, 131, 137, 138, 140, 143, 149, 158, 163, 167, 172, 173, 176, 179, 182, 185, 188, 193, 194, 200, 203, 212, 213, 215, 218, 221, 228, 230, 233, 238, 239, 242, 248, 254, 257
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OFFSET

1,1


COMMENTS

Numbers n such that A064216(n) < n.
Numbers n such that A064989(2n1) < n.
Note: This sequence has remarkable but possibly merely coincidental overlap with A053726. On Dec 22 2014, Matthijs Coster mistakenly attached a comment intended for that sequence to this one. On Apr 17 2015, Antti Karttunen noted the error. I have moved the comment to the correct sequence, and have removed Karttunen's note.  Allan C. Wechsler, Aug 01 2022


LINKS



PROG

(PARI)
default(primelimit, 2^30);
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]1)); factorback(f)};
n = 0; i = 0; while(i < 10000, n++; if(isA246371(n), i++; write("b246371.txt", i, " ", n)));


CROSSREFS

Subsequence of A104275 and A053726 (20 is the first term > 1 which is not in this sequence).
Subsequence: A246374 (the primes present in this sequence).


KEYWORD

nonn


AUTHOR



STATUS

approved



