A132260 Array T(k,n) = n-th prime p such that 2^2^k + p^2^k is prime, k>2, read by antidiagonals.

13, 89, 137, 29, 107, 223, 37, 59, 127, 331, 113, 53, 101, 139, 389, 113, 223, 181, 103, 173, 491, 13, 1223, 5279, 491, 109, 179, 563, 1151, 181, 1277, 7517, 547, 181, 229, 647, 43, 2153, 761, 1993, 8039, 619, 199, 233, 701, 53, 271, 3559, 4133, 2399, 9833, 661, 379, 349, 773

Offset

3,1

Comments

These were computed by Ignacio Larrosa Cañestro, who cautions that some are only probable primes. The k=3 row is A157950. The main diagonal is A132261.

Links

Table of n, a(n) for n=3..57.

Example

The array begins:
   n  |   1    2    3    4    5    6     7     8     9    10
  ----+--------------------------------------------------------
  k=3 |  13  137  223  331  389  491   563   647   701   773
  k=4 |  89  107  127  139  173  179   229   233   349   421
  k=5 |  29   59  101  103  109  181   199   379   769   881
  k=6 |  37   53  181  491  547  619   661   677   911   941
  k=7 | 113  223 5279 7517 8039 9833 12197 13757 21467 23447
  k=8 | 113 1223 1277 1993 2399 9349  9739 10211 10973 11059

Crossrefs

Cf. A000040, A062324, A132261, A157764, A157950, A158361, A158477.

Sequence in context: A228481 A277512 A141878 * A181508 A357219 A082099

Adjacent sequences: A132257 A132258 A132259 * A132261 A132262 A132263

Keyword

nonn,tabl

Author

Jonathan Vos Post, Aug 15 2007

Extensions

More terms from Jinyuan Wang, Feb 01 2022

Status

approved