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A123300 Prime sums of 14 positive 5th powers. 2
107, 293, 349, 653, 659, 839, 1013, 1019, 1223, 1279, 1409, 1559, 1583, 1621, 1801, 1831, 1949, 2011, 2129, 2153, 2309, 2333, 2339, 2347, 2371, 2551, 2699, 2707, 2731, 2879, 2917, 3083, 3121, 3169, 3191, 3301, 3331, 3449, 3457, 3511, 3541, 3659, 3691, 3761, 3847, 4019, 4027, 4051 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000

FORMULA

A000040 INTERSECTION A123295.

EXAMPLE

a(1) = 107 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 2^5 + 2^5 + 2^5.

a(2) = 293 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5.

a(3) = 349 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 2^5 + 2^5 + 2^5 + 3^5.

a(4) = 653 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 2^5 + 2^5 + 2^5 + 2^5 + 2^5 + 3^5 + 3^5.

MATHEMATICA

up = 5000; q = Range[up^(1/5)]^5; a={0}; Do[b = Select[Union@ Flatten@ Table[e + a, {e, q}], # <= up &]; a = b, {k, 14}]; Select[a, PrimeQ] (* Giovanni Resta, Jun 12 2016 *)

CROSSREFS

Cf. A000584, A003336, A003347, A003349, A003350, A003351, A003352, A003353, A003354, A003355, A003356, A003357, A123294-A123299.

Sequence in context: A201220 A088563 A142222 * A238669 A142018 A106948

Adjacent sequences:  A123297 A123298 A123299 * A123301 A123302 A123303

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Sep 25 2006

EXTENSIONS

More terms from Harvey P. Dale, Jan 01 2015

4 missing terms from Giovanni Resta, Jun 12 2016

STATUS

approved

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Last modified August 3 17:17 EDT 2021. Contains 346439 sequences. (Running on oeis4.)