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Search: id:A136001
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| 11, 23, 29, 47, 59, 71, 79, 83, 89, 107, 131, 139, 149, 167, 179, 181, 191, 197, 199, 223, 227, 233, 239, 251, 263, 269, 307, 311, 347, 349, 359, 373, 379, 383, 389, 419, 431, 439, 443, 449, 461, 467, 479, 491, 503, 509, 563, 569, 571, 587, 593, 599
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Dallas Symphony Assoc., Dsokids - Triangle instrument.
Epsilones, Pythagoras - Music.
Ron Knott, Pythagorean Triples and Online Calculators.
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EXAMPLE
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a(1)=11 because 11 is prime and 3,4,5 is Pythagorean triple and 3+4+5=12 is the sum of a Pythagorean triple and 11+1=12, then we can write 3+4+5=11+1.
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MAPLE
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isprPer := proc(p) local dvs, m, n ; if p mod 2 = 1 then RETURN(false) ; fi ; dvs := p/2 ; for m in numtheory[divisors](dvs) do n := dvs/m-m ; if n > 0 and n < m then RETURN(true) ; fi ; od: RETURN(false) ; end: isA010814 := proc(n) local d; for d in numtheory[divisors](n) do if isprPer(n/d) then RETURN(true) ; fi ; od: RETURN(false) ; end: isA136000 := proc(n) isA010814(n+1) ; end: isA136001 := proc(n) isprime(n) and isA136000(n) ; end: for n from 2 to 600 do if isA136001(n) then printf("%d, ", n) ; fi: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 12 2007
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CROSSREFS
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Cf. A136000, A136003. Perimeters of Pythagorean triangles: A009096.
Sequence in context: A091939 A072185 A105898 this_sequence A038904 A060399 A030665
Adjacent sequences: A135998 A135999 A136000 this_sequence A136002 A136003 A136004
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Dec 10 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 12 2007
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