A220653 -id:A220653 - cp's OEIS frontend

A220787 Numbers k such that k^11 + 11*k + 11^k is prime.

1, 15, 18, 167, 684, 698, 1642, 3691, 4245, 5370, 6238, 6926, 9646, 10656, 10999, 11868, 14188, 35787

Offset: 1

Vincenzo Librandi, Jan 07 2013

a(13) > 9000. - Tyler NeSmith, Jul 26 2021

Cf. A220653.

Select[Range[5000], PrimeQ[#^11 + 11*# + 11^#]&]

is(n)=ispseudoprime(n^11+11*n+11^n) \\ Charles R Greathouse IV, Jun 06 2017

a(10)-a(12) from Tyler NeSmith, Jul 26 2021
a(13)-a(15) from Michael S. Branicky, Jan 13 2023
a(16)-a(17) from Michael S. Branicky, Apr 22 2023
a(18) from Michael S. Branicky, Sep 19 2024

A182127 Main diagonal T(n,n) of array T(k,n) = n-th value of m^prime(k) + m*prime(k) + prime(k)^m.

Original entry on oeis.org

1, 7, 67, 2551, 4208989, 1221074483, 16926683582407, 11398896079245015, 590295810437016637177, 4710128697246259342067579819, 10000000000000000819628286981111, 340039485861577398992584799927541447791, 176372588156290374069930689165295413889886285

Offset: 1

Jonathan Vos Post, Dec 19 2012

			The upper left corner of the matrix is:
.
k\n | 1   2     3       4        5         6
----+---------------------------------------
  1 | 1   5    12      23       40        67  (A220425)
  2 | 1   7    23      63      157       383  (A220509)
  3 | 1  11    67     383     1669      6275  (A220511)
  4 | 1  15   191    2551    18813     94967  (A220528)
  5 | 1  23  2191  178511  4208989  48989231  (A220653)

Cf. A220425, A220509, A220511, A220528, A220653.

A182127T := proc(n,k)
    p := ithprime(k) ;
    n^p+n*p+p^n ;
end proc:
A182127 := proc(n)
    A182127T(n-1,n) ;
end proc:
seq(A182127(n),n=1..13) ; # R. J. Mathar, Dec 22 2012

A209261 a(n) = n^13 + 13*n + 13^n.

Original entry on oeis.org

1, 27, 8387, 1596559, 67137477, 1221074483, 13065520903, 96951759015, 550571544713, 2552470327819, 10137858491979, 36314872538111, 130291290501709, 605750213184675, 4731091158953615, 53132088082450327, 669920208810550545

Offset: 0

Jonathan Vos Post, Jan 14 2013

This is to A220425 as 13 is to 2, to A220509 as 13 is to 3, to A220511 as 13 is to 5, to A220528 as 13 is to 7, and to A220653 as 13 is to 11. The subsequence of primes begins: 8387, 13065520903.

			a(2) = 2^13 + 13*2 + 13^2 = 8387.

G. C. Greubel, Table of n, a(n) for n = 0..895

Cf. A008455, A008593, A001020, A220425, A220509, A220511, A220528, A220653, A220787.

[n^13 + 13*n + 13^n: n in [0..30]]; // G. C. Greubel, Jan 05 2018

Table[n^13 + 13*n + 13^n, {n,0,30}] (* G. C. Greubel, Jan 05 2018 *)

makelist(n^13 + 13*n + 13^n,n,0,20); /* Martin Ettl, Jan 15 2013 */

for(n=0,30, print1(n^13 + 13*n + 13^n, ", ")) \\ G. C. Greubel, Jan 05 2018

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A220787 Numbers k such that k^11 + 11*k + 11^k is prime.

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A182127 Main diagonal T(n,n) of array T(k,n) = n-th value of m^prime(k) + m*prime(k) + prime(k)^m.

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A209261 a(n) = n^13 + 13*n + 13^n.

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