
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A prime quadruple is four consecutive primes, such that the first and the last differ by 8, that look like (p, p+2, p+6, p+8). For technical reasons (see prime ktuple) the case (3, 5, 7, 11) is omitted. The first few are as follows. (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199), (821, 823, 827, 829), (1481, 1483, 1487, 1489), (1871, 1873, 1877, 1879), (2081, 2083, 2087, 2089), (3251, 3253, 3257, 3259), and (3461, 3463, 3467, 3469)It is conjectured that there are infinitely many such primes. In fact the HardyLittlewood prime ktuple conjecture suggests that the number less than x is approximately The actual number less than 100,000,000 is 4768. The HardyLittlewood estimate above is 4734.
See Also: PrimeConstellation, Triple Related pages (outside of this work)
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Chris K. Caldwell © 19992020 (all rights reserved)
