STATUS
editing
approved
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Revision History for A336568
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Numbers that are not a product of two numbers each having distinct prime multiplicities.
(history; published version)
(history; published version)
COMMENTS
First differs from A350352 in having 420.
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
COMMENTS
A number's prime signature (row n of A124010) is the sequence of positive exponents in its prime factorization, so a number has distinct prime multiplicities iff all the exponents in its prime signature has no repeated partsare distinct.
STATUS
proposed
editing
STATUS
editing
proposed
COMMENTS
A number 's prime signature (row n of A124010) is the sequence of positive exponents in its prime factorization, so a number has distinct prime multiplicities iff its prime signature is stricthas no repeated parts.
STATUS
proposed
editing
STATUS
editing
proposed
EXAMPLE
660: {1,1,2,3,5}
798: {1,2,4,8}
840: {1,1,1,2,3,4}
9243120: {1,1,1,1,2,4,53,6}
9900: {1,1,2,2,3,3,5}
CROSSREFS
A002033 counts chains of divisors, or ordered factorizations.
A130091 lists numbers with distinct prime exponentsA074206 counts strict chains of divisors from n to 1.
A181796 counts divisors A130091 lists numbers with distinct prime exponentsmultiplicities.
A181796 counts divisors with distinct prime multiplicities.
Cf. A001055, A002033, A098859, A124010, A167865, A253249, A336420.
STATUS
approved
editing