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 A324562 Numbers > 1 where the maximum prime index is greater than or equal to the number of prime factors counted with multiplicity. 19
 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 19, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798. Also Heinz numbers of the integer partitions enumerated by A064174. The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 FORMULA A061395(a(n)) >= A001222(a(n)). EXAMPLE The sequence of terms together with their prime indices begins:    2: {1}    3: {2}    5: {3}    6: {1,2}    7: {4}    9: {2,2}   10: {1,3}   11: {5}   13: {6}   14: {1,4}   15: {2,3}   17: {7}   19: {8}   20: {1,1,3}   21: {2,4}   22: {1,5}   23: {9}   25: {3,3}   26: {1,6}   28: {1,1,4} MAPLE with(numtheory): q:= n-> is(pi(max(factorset(n)))>=bigomega(n)): select(q, [\$2..100])[];  # Alois P. Heinz, Mar 07 2019 MATHEMATICA Select[Range[2, 100], PrimePi[FactorInteger[#][[-1, 1]]]>=PrimeOmega[#]&] CROSSREFS Cf. A001222, A003114, A055396, A056239, A061395, A064174, A106529, A112798. Cf. A324517, A324519, A324521, A324522, A324560, A324562. Sequence in context: A285465 A092418 A004195 * A083347 A137217 A023705 Adjacent sequences:  A324559 A324560 A324561 * A324563 A324564 A324565 KEYWORD nonn AUTHOR Gus Wiseman, Mar 06 2019 STATUS approved

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Last modified August 4 03:57 EDT 2021. Contains 346442 sequences. (Running on oeis4.)