
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A prime triple is three consecutive primes, such that the first and the last differ by six. For example: (5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41, 43, 47), (67, 71, 73), (97, 101, 103), and (101, 103, 107).It is conjectured that there are infinitely many such primes. In fact the HardyLittlewood prime ktuple conjecture suggests that the number less than x of each of the forms
The actual numbers less than 100,000,000 are 55,600 and 55,556 respectively. The HardyLittlewood estimate above is 55,490.
See Also: PrimeConstellation, TwinPrime, Quadruple Related pages (outside of this work)
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Chris K. Caldwell © 19992020 (all rights reserved)
