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A240764
Least k such that prime power factorization of A240751(k)! contains p^k when the smallest such p equals prime(n), or a(n)=0 if there is no such k.
9
1, 2, 12, 29, 186, 2865, 3265, 379852, 7172525
OFFSET
1,2
COMMENTS
The first position k in A240755 in which A240755(k) = prime(n), or a(n)=0 if prime(n) does not occur in A240755.
Conjecture: all a(n)>0.
EXAMPLE
A240751(a(3))! = A240751(12)! = 50!. 50! is the least factorial having exponent 12 in its prime factorization. That exponent denotes the multiplicity of prime(3) = 5. - David A. Corneth, Mar 27 2017
KEYWORD
nonn,more
AUTHOR
Vladimir Shevelev, Apr 12 2014
EXTENSIONS
a(5)-a(7) from Peter J. C. Moses, Apr 14 2014
a(8)-a(9) from David A. Corneth, Mar 27 2017
STATUS
approved