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A140834
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Primes that are the sum of at most four nonzero 4-th powers.
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0
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2, 3, 17, 19, 83, 97, 113, 163, 179, 257, 337, 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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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 4-th powers}, itself a subset of A002645 Quartan primes: primes of the form x^4 + y^4, x>0, y>0.
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FORMULA
| A000040 INTERSECTION A004833. {A133740 = Primes that are the sum of at exactly 4 nonzero 4-th powers} UNION {A085318 = Primes that are the sum of at exactly 3 nonzero 4-th powers} UNION {A002645 = Primes that are the sum of at exactly 2 nonzero 4-th powers}.
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CROSSREFS
| Cf. A000040, A000583, A002645, A003294, A004833, A037896, A085318, A122540, A126657, A133740.
Sequence in context: A051074 A051094 A154274 * A121409 A041295 A128845
Adjacent sequences: A140831 A140832 A140833 * A140835 A140836 A140837
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 18 2008
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