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Search: id:A054994
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| A054994 |
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Numbers of the form (q1^b1)(q2^b2)(q3^b3)(q4^b4)(q5^b5)... where q1=5, q2=13, q3=17, q4=29, q5=37, ... [A002144] and b1>=b2>=b3>=b4>=b5... |
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+0
2
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| 5, 25, 65, 125, 325, 625, 1105, 1625, 3125, 4225, 5525, 8125, 15625, 21125, 27625, 32045, 40625, 71825, 78125, 105625, 138125, 160225, 203125, 274625, 359125, 390625, 528125, 690625, 801125, 1015625, 1185665, 1221025, 1373125, 1795625
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This sequence is related to Pythagorean triples regarding the number of hypotenuses which are in a particular number of total Pythagorean triples and a particular number of primitive Pythagorean triples.
Least integer "mod 4 prime signature" values that are the hypotenuse of at least one primitive Pythagorean triple - Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 26 2004
See A097751 for definition of "mod 4 prime signature"; terms of A097752 with all prime factors of form 4k+1.
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LINKS
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Eric Weisstein's World of Mathematics, Pythagorean Triple.
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EXAMPLE
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5=5, 25=5^2, 65=(5)(13), 125=5^3, 325=(5^2)(13), 625=5^4, etc.
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CROSSREFS
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Cf. A002144, A097751-A097756.
Sequence in context: A045576 A080856 A060820 this_sequence A108403 A007058 A071383
Adjacent sequences: A054991 A054992 A054993 this_sequence A054995 A054996 A054997
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KEYWORD
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easy,nonn
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AUTHOR
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Bernard Altschuler (Altschuler_B(AT)bls.gov), May 30 2000
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EXTENSIONS
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More terms from Henry Bottomley (se16(AT)btinternet.com), Mar 14 2001
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