The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A326234 Numbers n such that N = n^3 is a twin rank (A002822: 6N +- 1 are twin primes). 8
 1, 28, 42, 168, 203, 287, 308, 518, 1043, 1057, 1512, 1603, 1638, 1680, 1757, 1988, 2905, 3367, 3927, 4018, 4928, 5033, 5145, 5257, 5292, 5432, 5733, 6762, 7182, 7210, 7798, 8715, 10213, 10318, 10668, 10745, 11088, 12243, 13552, 14245, 14588, 14707, 15155, 15323, 15687, 15722, 15757 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Dinculescu notes that when n^2 or n^3 is a twin rank > 1 (i.e., in A002822), then n is a multiple of 5, resp. 7. It is unknown whether there exist other pairs (a, b) different from (5, 2) and (7, 3) such that n^b => a | n. (Of course (5, 2k) and (7, 3k) and (35, 6k) is a solution for any k.) See A326233 for the terms > 1 divided by 7. See A326232 and A326231 for the case n^2, A326236 and A326235 for n^6. LINKS A. Dinculescu, Table of n, a(n) for n = 1..14709 A. Dinculescu, On the Numbers that Determine the Distribution of Twin Primes, Surveys in Mathematics and its Applications, 13 (2018), 171-181. FORMULA a(n) = 7*A326233(n-1), n >= 2. PROG (PARI) select( is(n)=!for(s=1, 2, ispseudoprime(6*n^3+(-1)^s)||return), [1..10^5]) CROSSREFS Cf. A002822, A326233 (a(n)/7, n>1), A326231, A326232 (analog for n^2), A326235, A326236 (analog for n^6), A326230 (least twin rank n^k > 1 for given k). Sequence in context: A025359 A056031 A061826 * A260954 A349495 A169962 Adjacent sequences: A326231 A326232 A326233 * A326235 A326236 A326237 KEYWORD nonn AUTHOR M. F. Hasler and Antonie Dinculescu, Jun 14 2019 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 July 13 02:50 EDT 2024. Contains 374265 sequences. (Running on oeis4.)