A140834 Primes that are the sum of at most four nonzero 4th powers.

2, 3, 17, 19, 83, 97, 113, 163, 179, 257, 337, 353, 419, 499, 593, 641, 643, 673, 769, 787, 881, 883, 1153, 1297, 1409, 1459, 1553, 1889, 2003, 2083, 2131, 2417, 2579, 2593, 2609, 2657, 2659, 2689, 2819, 3169, 3217, 3697, 3779, 3889, 3907, 4099, 4129, 4177

Offset

1,1

Comments

This sequence was checked by T. D. Noe, who had supplied the b-list for A004833. A037896 is a subset of {Primes that are the sum of at exactly 2 nonzero 4th powers}, itself a subset of A002645 Quartan primes: primes of the form x^4 + y^4, x>0, y>0.

Links

Table of n, a(n) for n=1..48.

Formula

A000040 INTERSECTION A004833. {A133740 = Primes that are the sum of at exactly 4 nonzero 4th powers} UNION {A085318 = Primes that are the sum of at exactly 3 nonzero 4th powers} UNION {A002645 = Primes that are the sum of at exactly 2 nonzero 4th powers}.

Crossrefs

Cf. A000040, A000583, A002645, A003294, A004833, A037896, A085318, A122540, A126657, A133740.

Sequence in context: A051094 A154274 A235628 * A121409 A041295 A128845

Adjacent sequences: A140831 A140832 A140833 * A140835 A140836 A140837

Keyword

easy,nonn

Author

Jonathan Vos Post, Jul 18 2008

Extensions

Missing term 353 inserted by Georg Fischer, May 11 2024

Status

approved