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A270244 Lesser of twin primes such that the sum of the twin prime pair is the sum of 2 positive cubes. 1
1871, 8819, 74609, 77237, 81647, 93131, 98927, 102059, 108107, 110501, 152837, 180287, 220859, 241919, 256031, 275939, 309851, 319679, 422099, 457001, 459647, 462419, 490247, 530711, 568151, 635291, 660851, 667547, 721619, 729269, 761669, 843677, 859679, 909971, 948401, 1037087, 1041119 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

EXAMPLE

1871 is a term because 1871 + 1873 = 10^3 + 14^3.

8819 is a term because 8819 + 8821 = 4^3 + 26^3.

74609 is a term because 74609 + 74611 = 7^3 + 53^3.

MATHEMATICA

Select[Select[Prime@ Range[10^5], PrimeQ[# + 2] &], Length[PowersRepresentations[2 # + 2, 2, 3] /. {0, _} -> Nothing] > 0 &] (* Michael De Vlieger, Mar 15 2016 *)

PROG

(PARI) isA003325(n) = for(k=1, sqrtnint(n\2, 3), ispower(n-k^3, 3) && return(1));

t(n, p=3) = {while( p+2 < (p=nextprime( p+1 )) || n-->0, ); p-2}

for(n=1, 1e4, if(isA003325(2*t(n)+2), print1(t(n), ", ")));

CROSSREFS

Cf. A001359, A003325, A054735.

Sequence in context: A073489 A232040 A054817 * A154675 A068281 A139668

Adjacent sequences:  A270241 A270242 A270243 * A270245 A270246 A270247

KEYWORD

nonn

AUTHOR

Altug Alkan, Mar 13 2016

STATUS

approved

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Last modified August 20 14:36 EDT 2019. Contains 326152 sequences. (Running on oeis4.)