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A122702 Primes of the form p^3 + q^5 where p and q are primes. 1
59, 157, 251, 24421, 161059, 2248123, 6436351, 6967903, 15813283, 20511157, 22188073, 58863901, 86938339, 90518881, 131872261, 263374753, 440711113, 553387693, 865523209, 1095912823, 1194390013, 1524845983, 1573037779, 2521008913, 2979767551, 3327970189 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

p and q cannot both be odd. Thus p=2 or q=2.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

{a(n)} = {p^3 + q^5 in A000040 where p and q are in A000040}.

EXAMPLE

a(1) = 3^3 + 2^5 = 59.

a(2) = 5^3 + 2^5 = 157.

a(3) = 2^3 + 3^5 = 251.

a(4) = 29^3 + 2^5 = 24421.

MAPLE

N:= 10^10: # to get all terms <= N

A:= select(isprime, {seq(2^3 + q^5, q = select(isprime, [2, seq(i, i=3..floor((N-8)^(1/5)), 2)])),

seq(2^5 + q^3, q = select(isprime, [2, seq(i, i=3..floor((N-2^5)^(1/3)), 2)]))}):

sort(convert(A, list)); # Robert Israel, Jan 23 2018

MATHEMATICA

With[{nn=10^8}, Union[Select[Join[Prime[Range[Floor[Power[nn, (5)^-1]]]]^5+ 8, Prime[Range[Floor[Power[nn, (3)^-1]]]]^3+32], PrimeQ]]] (* Harvey P. Dale, Nov 26 2011 *)

CROSSREFS

Cf. A000040, A045700 (Primes of form p^2+q^3 where p and q are primes).

Sequence in context: A140687 A118154 A033671 * A142422 A255352 A044391

Adjacent sequences:  A122699 A122700 A122701 * A122703 A122704 A122705

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Sep 22 2006

EXTENSIONS

More terms from Harvey P. Dale, Nov 26 2011

STATUS

approved

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Last modified May 24 18:27 EDT 2022. Contains 354043 sequences. (Running on oeis4.)