Definition:Wieferich Prime/Sequence
Jump to navigation
Jump to search
Definition
The sequence of Wieferich primes begins:
- $1093, 3511 \ldots$
No other Wieferich primes exist below $4 \cdotp 968543 \times 10^{17}$.
This sequence is A001220 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Sources
- 1909: Arthur Wieferich: Zum letzten Fermat'schen Theorem (J. reine angew. Math. Vol. 136, no. 3/4: pp. 293 – 302)
- 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): $1093$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1093$