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Search: id:A097751
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| A097751 |
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Least integer with same "mod 4 prime signature" as n. |
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+0
7
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| 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 15, 16, 5, 18, 3, 20, 21, 6, 3, 24, 25, 10, 27, 12, 5, 30, 3, 32, 21, 10, 15, 36, 5, 6, 15, 40, 5, 42, 3, 12, 45, 6, 3, 48, 9, 50, 15, 20, 5, 54, 15, 24, 21, 10, 3, 60, 5, 6, 63, 64, 65, 42, 3, 20, 21, 30, 3, 72, 5, 10, 75, 12, 21, 30, 3, 80, 81
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n=2^a_0*p_1^a_1*...*p_n^a_n*q_1^b_1*...*q_m^b_m where p_i is a prime of form 4k+3, q_i is a prime of the form 4k+1, with a_1>=a_2>=...>=a_n and b_1>=b_2>=...>=b_m, define "mod 4 prime signature" to be ordered prime exponents [a_0,(a_1,...,a_n),(b_1,...,b_m)].
Least integer with a given "mod 4 prime signature" is obtained by replacing p_i with i-th prime of form 4k+3 and q_i with i-th prime of form 4k+1.
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CROSSREFS
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Cf. A097752, A097753, A097754, A097755, A097756.
Sequence in context: A082120 A070675 A096894 this_sequence A070667 A122416 A134665
Adjacent sequences: A097748 A097749 A097750 this_sequence A097752 A097753 A097754
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KEYWORD
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nonn
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AUTHOR
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Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 26 2004
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