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A247191
Number of prime divisors, counted with multiplicity, of A180202(n), the product of the two numbers in the n-th amicable pair, A002025(n) * A002046(n).
1
7, 10, 8, 8, 11, 10, 10, 11, 9, 12, 12, 11, 10, 11, 11, 16, 12, 9, 12, 12, 11, 10, 10, 9, 10, 11, 12, 11, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 13, 11, 13, 11, 10, 10, 9, 13, 12, 12, 10, 12, 12, 10, 11, 9, 10, 14, 14, 10, 11, 13, 11, 11, 12, 10, 11, 11, 11
OFFSET
1,1
COMMENTS
Motivated by Theorem 3. in P. Pollack paper stating: Fix a natural number k. Then there are only finitely many amicable pairs (N,M) for which Omega(N*M) <= k.
LINKS
Paul Pollack, Finiteness Theorems for Perfect Numbers and Their Kin, The American Mathematical Monthly, Vol. 119, No. 8 (October 2012), pp. 670-681
FORMULA
a(n) = A001222(A180202(n)).
a(n) = A001222(A002025(n) * A002046(n)).
PROG
(PARI) lista() = {va = readvec("b002025.txt"); vb = readvec("b002046.txt"); for (i=1, 80, print1(bigomega(va[i]*vb[i]), ", ")); }
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Nov 23 2014
STATUS
approved