Definition:Euclid Prime/Sequence
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Definition
The sequence of Euclid primes begins:
- $2, 3, 7, 31, 211, 2311, 200 \, 560 \, 490 \, 131, \ldots$
This sequence is A018239 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
This sequence can be better comprehended as:
- $\sequence {p_n \# + 1}$
where:
- $p_n \#$ denotes the primorial of the $n$th prime number
- $n$ is the sequence:
- $0, 1, 2, 3, 4, 5, 11, 75, 171, 172, 384, 457, 616, 643, \ldots$
This sequence is A014545 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Source of Name
This entry was named for Euclid.