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 A080084 Number of prime factors in the factorial of the n-th prime, counted with multiplicity. 4
 1, 2, 5, 8, 16, 20, 29, 33, 41, 56, 60, 76, 85, 89, 98, 114, 129, 134, 151, 160, 166, 180, 192, 207, 229, 240, 244, 254, 260, 271, 308, 321, 338, 342, 369, 374, 391, 409, 418, 435, 451, 457, 484, 492, 502, 507, 541, 572, 585, 590, 601, 616, 623, 653, 674, 689 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 FORMULA a(n) = sum_{m=1..n} sum_{k=1..L} floor( p_n /(p_m)^k ), where L = ceil( ln(p_n)/ln(p_m) ). MATHEMATICA PrimeOmega[#!]&/@Prime[Range[60]] (* From Harvey P. Dale, Nov 09 2011 *) CROSSREFS Cf. A080085, A080086, A080087. Sequence in context: A081660 A065618 A186413 * A065093 A168470 A129299 Adjacent sequences:  A080081 A080082 A080083 * A080085 A080086 A080087 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 26 2003 STATUS approved

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