Prime Bell Numbers
The first few Bell numbers that are primes are:
- 2, 5, 877, 27644437, 35742549198872617291353508656626642567, 359334085968622831041960188598043661065388726959079837 (sequence A051131 in OEIS)
corresponding to the indices 2, 3, 7, 13, 42 and 55 (sequence A051130 in OEIS).
The next prime is B2841, which is approximately 9.30740105 × 106538. As of 2006, it is the largest known prime Bell number. Phil Carmody showed it was a probable prime in 2002. After 17 months of computation with Marcel Martin's ECPP program Primo, Ignacio Larrosa Cañestro proved it to be prime in 2004. He ruled out any other possible primes below B6000, later extended to B30447 by Eric Weisstein.
Read more about this topic: Bell Number
Famous quotes containing the words prime, bell and/or numbers:
“And this must be the prime of life . . . I blink,
As if at pain; for it is pain, to think
This pantomime
Of compensating act and counter-act,
Defeat and counterfeit, makes up, in fact,
My ablest time.”
—Philip Larkin (1922–1986)
“I can entertain the proposition that life is a metaphor for boxing—for one of those bouts that go on and on, round following round, jabs, missed punches, clinches, nothing determined, again the bell and again and you and your opponent so evenly matched it’s impossible not to see that your opponent is you.... Life is like boxing in many unsettling respects. But boxing is only like boxing.”
—Joyce Carol Oates (b. 1938)
“All experience teaches that, whenever there is a great national establishment, employing large numbers of officials, the public must be reconciled to support many incompetent men; for such is the favoritism and nepotism always prevailing in the purlieus of these establishments, that some incompetent persons are always admitted, to the exclusion of many of the worthy.”
—Herman Melville (1819–1891)