1,1

The sets of three primes corresponding to the first seven terms of the sequence are respectively {193,461,631}, {599,691,823}, {103,2179,2213}, {769,1879,2447}, {31,1951,2591}, {1399,1667,3541} and {11,1783,3631}. - Robert G. Wilson v (rgwv(at)rgwv.com), Jan 09 2006

The sets of three primes corresponding to the next eight terms of the sequence are respectively {2251, 3121, 5171}, {1487, 2731, 5399}, {839, 3691, 5167}, {2099, 2377, 6883}, {3163, 5443, 5843}, {1621, 6323, 6481}, {2357, 4999, 7559} and {1621, 5297, 7589}. - Robert G. Wilson v (rgwv(at)rgwv.com), Jan 09 2006

The indices of the primes: 127,174,403,406,422,520,525,742,745,754,905,933,1017,1040,1050, ..., . - Robert G. Wilson v (rgwv(at)rgwv.com), Jan 09 2006

The sets of three primes corresponding to the terms 12073, 12343, 13417, 14083, 14561, 14723, 14831, 14969, 15313, 18127, 19841 and 25033 are respectively {4007, 4327, 11731}, {373, 9209, 10321}, {5099, 7561, 12277}, {4639, 7129, 13259}, {1997, 8599, 13469}, {3881, 6427, 14207}, {6257, 9439, 12959}, {2239, 5189, 14741}, {2269, 2969, 15259}, {2129, 5227, 17971}, {3931, 15263, 16127} and {4093, 19391, 20269}. The indices of the primes: 127, 174, 403, 406, 422, 520, 525, 742, 745, 754, 905, 933, 1017, 1040, 1050, 1168, 1174, 1215, 1446, 1474, 1591, 1661, 1707, 1723, 1738, 1753, 1789, 2077, 2244, 2765. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 27 2006

G. L. Honaker, Jr. and Chris Caldwell, Prime Pages.

Carlos Rivera, P^3=a^3+b^3+c^3, {P, a, b, c} = primes.

The prime number 3769 is in the sequence because we have 3769^3=11^3+1783^3+3631^3 and three numbers 11, 1783 and 3631 are primes.

t = {}; Do[ If[p = (Prime[q]^3 + Prime[r]^3 + Prime[s]^3)^(1/3); PrimeQ[p], AppendTo[t, p]; Print[{p, Prime[s], Prime[r], Prime[q]}]], {q, 3, 1059}, {r, q-1}, {s, r-1}]; t (* Robert G. Wilson v *)

Subset of A023042.

Sequence in context: A005845 A074869 A059312 this_sequence A057849 A058324 A005467

Adjacent sequences: A114920 A114921 A114922 this_sequence A114924 A114925 A114926

nonn

Carlos Rivera and Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jan 09 2006

a(8)-a(18) from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 09 2006

More terms from Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 27 2006