The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A217718 Primes of the form x^3 + y^3 - 1, where x and y are primes. 2
 53, 151, 467, 2539, 3527, 6983, 7109, 30133, 31121, 31247, 34703, 41957, 50777, 59581, 62819, 68947, 69263, 75041, 79631, 81703, 91673, 98711, 106019, 109297, 110681, 159013, 183329, 205721, 228311, 228383, 231893, 239147, 256031, 256771, 295901, 302959, 312929 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A number is in this sequence if it is prime, and can be expressed as p1^3 + p2^3 - 1, where p1 and p2 are also prime. There are 175 numbers in the sequence < 10^7: a(175) = 83^3 + 211^3 - 1 = 9965717. LINKS Christian N. K. Anderson, Table of n, a(n) for n = 1..1890 EXAMPLE 3527 is in the sequence, because 11^3 + 13^3 - 1 = 3527, and 11, 13, and 3527 are all prime. MATHEMATICA mx = 25; Union[Select[Flatten[Table[Prime[a]^3 + Prime[b]^3 - 1, {a, mx}, {b, a, mx}]], # < Prime[mx]^3 && PrimeQ[#] &]] (* T. D. Noe, Mar 29 2013 *) CROSSREFS Cf. A024670 (sum of two cubes). Cf. A214175 (primes that are one more than the sum of two prime cubes). Sequence in context: A142043 A175600 A142417 * A044385 A044766 A342450 Adjacent sequences: A217715 A217716 A217717 * A217719 A217720 A217721 KEYWORD nonn AUTHOR Kevin L. Schwartz and Christian N. K. Anderson, Mar 21 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 26 19:25 EDT 2023. Contains 361552 sequences. (Running on oeis4.)