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3511 (three thousand, five hundred and eleven) is the natural number following 3510 and preceding 3512.

3511 is a prime number, and is also an emirp: a different prime when its digits are reversed.

3511 is a Wieferich prime, found to be so by N. G. W. H. Beeger in 1922 and the largest known – the only other being 1093. If any other Wieferich primes exist, they must be greater than 6.7×10.

3511 is the 27th centered decagonal number.

References

1. Weisstein, Eric W. "Emirp". MathWorld.
2. The Prime Glossary: Wieferich prime
3. Beeger, N. G. W. H. (1922), "On a new case of the congruence 2 ≡ 1 (p)", Messenger of Mathematics, 51: 149–150, archived from the original on 2012-11-11
4. ^ Dorais, F. G.; Klyve, D. (2011). "A Wieferich Prime Search Up to 6.7×10" (PDF). Journal of Integer Sequences. 14 (9). Zbl 1278.11003. Retrieved 2011-10-23.
5. Meissner, W. (1913), "Über die Teilbarkeit von 2 − 2 durch das Quadrat der Primzahl p=1093", Sitzungsber. D. Königl. Preuss. Akad. D. Wiss. (in German), Zweiter Halbband. Juli bis Dezember, Berlin: 663–667
6. "Sloane's A062786 : Centered 10-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-03.

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