login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A161002 Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares. 3
9547, 12853, 22189, 22303, 27127, 29881, 32257, 40387, 42859, 46771, 46957, 47977, 57601, 60037, 60457, 71593, 72577, 73783, 77101, 84247, 88423, 89137, 90547, 93427, 97459, 97609, 97879, 112507, 115021, 118927, 126271, 127873, 131317 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence is probably infinite.

a(3859) = 11981443 is the first term in the sequence where neither of the prime gaps is 36.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

Consecutive primes (22189, 22193, 22229) have gaps (4, 36) so 22189 is in the sequence.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[12300]], 3, 1], IntegerQ[Sqrt[#[[2]]- #[[1]]]]&&IntegerQ[Sqrt[#[[3]]-#[[2]]]]&]][[1]] (* Harvey P. Dale, Dec 21 2011 *)

CROSSREFS

Cf. A138198.

Sequence in context: A202613 A236161 A252512 * A134117 A232189 A271046

Adjacent sequences:  A160999 A161000 A161001 * A161003 A161004 A161005

KEYWORD

nonn

AUTHOR

Ki Punches, Jun 01 2009

EXTENSIONS

Edited by Ray Chandler, Jun 08 2009

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 March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)