Definition:Thabit Prime/Sequence
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Definition
The sequence of Thabit primes begins:
- $2, 5, 11, 23, 47, 191, 383, 6143, 786 \, 431, 51 \, 539 \, 607 \, 551, \ldots$
This sequence is A007505 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
These correspond to the following values of $n$ in their generating expression $3 \times 2^n - 1$:
- $0, 1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, \ldots$
This sequence is A002235 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
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Sources
- Weisstein, Eric W. "Thâbit ibn Kurrah Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ThabitibnKurrahPrime.html