login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A172192 Numbers n such that n^6-(n+1)^5 is prime. 0
4, 9, 10, 12, 14, 19, 29, 46, 57, 59, 66, 71, 72, 84, 85, 90, 95, 96, 97, 114, 119, 122, 155, 157, 190, 191, 204, 207, 212, 221, 222, 244, 251, 256, 276, 285, 286, 289, 294, 300, 301, 307, 319, 320, 337, 344, 355, 359, 380, 382, 392, 400, 411, 422, 426, 441, 451 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding primes are in A171771. Negative values of primes are obtained for 1 and 2.

LINKS

Table of n, a(n) for n=1..57.

EXAMPLE

4^6-(4+1)^5 = 971 is prime, so 4 is in the sequence.

5^6-(5+1)^5 = 7849 = 47*167 is composite, so 5 is not in the sequence.

9^6-(9+1)^5 = 431441 is prime, so 9 is in the sequence.

MATHEMATICA

Select[Range[3, 500], PrimeQ[#^6-(#+1)^5]&] (* Harvey P. Dale, Apr 25 2011 *)

PROG

(MAGMA) [ n: n in [1..460] | IsPrime(p) and p gt 0 where p is n^6-(n+1)^5 ];

(PARI) is(n)=isprime(n^6-(n+1)^5) \\ Charles R Greathouse IV, Jun 13 2017

CROSSREFS

Cf. A171771, A002327 (primes of form n^2-n-1), A140719 (primes of form n^3-(n+1)^2), A087191 (primes of form n^4-(n+1)^3).

Sequence in context: A244533 A180149 A155879 * A243194 A283320 A086390

Adjacent sequences:  A172189 A172190 A172191 * A172193 A172194 A172195

KEYWORD

nonn,easy

AUTHOR

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 29 2010

EXTENSIONS

Edited, extended, non-specific references removed and MAGMA program added by Associate Editors OEIS, Mar 05 2010

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 23 12:02 EDT 2019. Contains 326222 sequences. (Running on oeis4.)