A138044 Primes formed from the concatenation of primitive Pythagorean triples.

81517, 202129, 6091109, 19180181, 68285293, 92525533, 120391409, 145408433, 168775793, 205828853, 225272353, 261380461, 300589661, 5598401009, 6458121037, 7059921217, 7999601249, 8536123613, 19521082117, 22814351453, 29147004709, 30024912509, 38090219029, 38180608069

Offset

1,1

Links

Carlo Corti, Table of n, a(n) for n = 1..7470

Carlo Corti, Table of n, a(n), p1, p2, p3, e1, e2 for n=1..7470

Carlo Corti, A138044: Complete 64-bit computational extension of OEIS sequence A138044

Formula

c(e1,e2) = concat(min(e1^2-e2^2,2*e1*e2), max(e1^2-e2^2,2*e1*e2), e1^2+e2^2), where e1 > e2 >= 1, gcd(e1,e2)=1, and e1-e2 is odd; a(n) runs through the prime values of c(e1,e2). - Carlo Corti, May 29 2026

Example

Entries 7999601249 and 8536123613, for instance, are primes obtained respectively from the primitive Pythagorean triples (799,960,1249) and (85,3612,3613).

Crossrefs

Prime terms of A138043.

Sequence in context: A249231 A237934 A134122 * A098187 A383178 A386933

Adjacent sequences: A138041 A138042 A138043 * A138045 A138046 A138047

Keyword

nonn,base

Author

Lekraj Beedassy, Mar 02 2008

Extensions

a(21)-a(24) from Carlo Corti, May 29 2026

Status

approved