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A213477 Main diagonal starting k=2 of array A(k,n) = numbers n such that n^k - prime(n) is a prime. 0
6, 10, 40, 14, 62, 76, 174, 278, 218, 702, 762, 758, 950, 858, 1782, 2290, 1596, 1462, 1848, 2964, 2262, 4278, 3750, 4320, 5076, 4010, 4890, 8040, 7494, 5962, 7996, 10318, 9424, 5770, 10080, 11088, 12222, 13806, 14712, 16904, 15222, 15620, 18258, 16092 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

The k=2 row is A064712 Numbers n such that n^2 - prime(n) is prime.

The k=3 row is A212881 Numbers n such that n^3 - prime(n) is prime.

The k=4 row is A212883 Numbers n such that n^4 - prime(n) is prime.

The k=8 row is A213428 Numbers n such that n^8 - prime(n) is prime.

LINKS

Table of n, a(n) for n=1..44.

EXAMPLE

The array A{k,n] = Numbers n such that n^k - prime(n) is a prime begins:

=====================================================

....|.n=1.|.n=2.|.n=3.|.n=4.|.n=5.|.n=6.|.n=7.|.n=8.|

=====================================================

k=2.|.. 6.|..10.|..12.|..18.|..24.|..28.|..30.|..40.|A064712

k=3.|...2.|..10.|..38.|.42..|..44.|..50.|..66.|..74.|A212881

k=4.|...2.|...6.|..40.|.76..|.144.|.146.|.148.|.166.|A212883

=====================================================

MATHEMATICA

Table[Select[Range[100000], PrimeQ[#^n - Prime[#]] &, n-1][[n-1]], {n, 2, 50}] (* T. D. Noe, Jun 13 2012 *)

CROSSREFS

Cf. A064712, A212881, A212883.

Sequence in context: A332984 A038264 A094890 * A047178 A132095 A332441

Adjacent sequences:  A213474 A213475 A213476 * A213478 A213479 A213480

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Jun 12 2012

STATUS

approved

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)