3511

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Number

$3511$ (three thousand, five hundred and eleven) is:

The $490$th prime number


The $2$nd of the only $2$ known Wieferich primes, after $1093$:
$3511^2 \divides 2^{3510} - 1$


Also see

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Sources

  • 1922: N.G.W.H. Beeger: On a new case of the congruence $2^p − 1 \equiv 1 \paren {p^2}$ (Messenger of Mathematics Vol. 51: pp. 149 – 150)
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3511$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3511$
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