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

 

Logo

The OEIS is looking to hire part-time people to help edit core sequences, upload scanned documents, process citations, fix broken links, etc. - Neil Sloane, njasloane@gmail.com

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A065378 Primes p such that p^2 is a palindromic square. 3
2, 3, 11, 101, 307, 30001253, 100111001, 110111011, 111010111, 111091111, 1011099011101, 1100011100011, 1100101010011, 1101010101011, 100110101011001, 100110990111001, 101000010000101, 101011000110101, 101110000011101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Record prime base number of a sporadic palindromic square is 13661181333262459.

LINKS

Hans Havermann (via Feng Yuan), Table of n, a(n) for n = 1..61

P. De Geest, Palindromic Squares

G. L. Honaker, Jr. and C. Caldwell, Prime Curios!

W. R. Marshall, Palindromic Squares

F. Yuan, Palindromic Square Numbers

EXAMPLE

E.g. a(6) = 900075181570009 = p^2 with p = 30001253 and prime.

MATHEMATICA

t={}; Do[p=Prime[n]; If[FromDigits[Reverse[IntegerDigits[p^2]]]==p^2, AppendTo[t, p]], {n, 10^7}]; t (* Jayanta Basu, May 11 2013 *)

CROSSREFS

Cf. A065379, A002778, A002779, A034822, A028816, A016106, A059744, A016113, A007573.

Sequence in context: A089921 A056899 A117699 * A161721 A225603 A079853

Adjacent sequences:  A065375 A065376 A065377 * A065379 A065380 A065381

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Nov 03 2001

EXTENSIONS

Corrected by Jayanta Basu, May 11 2013

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified May 28 10:09 EDT 2017. Contains 287240 sequences.