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Search: id:A122617
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| A122617 |
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Primes of the form p^3 + q^4 where p and q are primes. |
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4
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OFFSET
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1,1
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COMMENT
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p and q cannot both be odd. Thus p=2 or q=2. Except for 2^3 + 3^4 = 89, all such primes are of the form 2^4 + q^3.
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FORMULA
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{a(n)} = {p^3 + q^4 in A000040 where p and q are in A000040}.
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EXAMPLE
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a(1) = 2^4 + 3^3 = 43.
a(2) = 2^3 + 3^4 = 89.
a(3) = 2^4 + 7^3 = 359.
a(4) = 2^4 + 13^3 = 2213.
a(5) = 2^4 + 67^3 = 300779.
a(6) = 2^4 + 163^3 = 4330763.
a(7) = 2^4 + 241^3 = 13997537.
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CROSSREFS
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Cf. A000040, A045700 Primes of form p^2+q^3 where p and q are primes.
Sequence in context: A039526 A108394 A141924 this_sequence A044181 A044562 A060323
Adjacent sequences: A122614 A122615 A122616 this_sequence A122618 A122619 A122620
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Sep 21 2006
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