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 A136001 Primes in A136000. 1
 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, 607, 643 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..54. Dallas Symphony Assoc., Dsokids - Triangle instrument. Epsilones, Pythagoras - Music. Ron Knott, Pythagorean Triples and Online Calculators. EXAMPLE 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. MAPLE 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, Dec 12 2007 CROSSREFS Cf. A136000, A136003. Perimeters of Pythagorean triangles: A009096. Sequence in context: A247228 A243461 A259560 * A158203 A161754 A038904 Adjacent sequences: A135998 A135999 A136000 * A136002 A136003 A136004 KEYWORD nonn AUTHOR Omar E. Pol, Dec 10 2007 EXTENSIONS More terms from R. J. Mathar, Dec 12 2007 Extended by Ray Chandler, Dec 13 2008 STATUS approved

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Last modified September 21 07:12 EDT 2023. Contains 365494 sequences. (Running on oeis4.)