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A126118
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Primes P of the form a^2+b^2+c^2 such exists another prime P1 > P of the form a^4+b^4+c^4.
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0
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101, 107, 149, 173, 179, 251, 389, 521, 701, 1097, 1601, 1613, 1901, 1907, 2549, 2897, 2909, 3701, 4133, 4139, 5051, 6101, 7229, 7817, 7829, 8429, 10457, 11171, 11933, 12689, 13499, 15131, 15149, 16883, 18749, 19697, 20693, 21701, 22721, 22739
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| P= a^2+b^2+c^2; P1=a^4+b^4+c^4; P and P1 are primes; P1 > P
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EXAMPLE
| 101=1^2+6^2+8^2=1+36+64 and 5393=1^4+6^4+8^4=1+1296+4096;
101= 2^2+4^2+9^2 =4+16+81 and 6833= 2^4+4^4+9^4 = 16+256+6561;
31859=99^2 +103^2 +107^2 =9801+10609+11499 and
339690083=99^4 +103^4 +107^4=96059601+112550881+131079601;
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CROSSREFS
| Sequence in context: A128717 A111348 A081649 * A118773 A092628 A107219
Adjacent sequences: A126115 A126116 A126117 * A126119 A126120 A126121
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KEYWORD
| nonn
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AUTHOR
| Tomas Xordan (xordan.tom(AT)gmail.com), Mar 05 2007
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