| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "Ten million digits"
m |
m |
||
| Line 1: | Line 1: | ||
After the discovery of [[M38]] (the first [[megaprime]] or [[prime]] number greater than 1 million [[decimal]] [[digit]]s) in June of 1999, the next [[EFF prizes]] for prime numbers was '''ten million decimal digits'''. | After the discovery of [[M38]] (the first [[megaprime]] or [[prime]] number greater than 1 million [[decimal]] [[digit]]s) in June of 1999, the next [[EFF prizes]] for prime numbers was '''ten million decimal digits'''. | ||
| − | [[Prime95]] had an optional [[worktype]] to test numbers that were at least | + | [[Prime95]] had an optional [[worktype]] to test numbers that were at least {{Num|10000000}} digits added (exponents of {{Num|33219281}} and higher). When first made available and handed out by [[PrimeNet]], the [[Lucas-Lehmer test]]s of these [[exponent]]s took over a year on the fastest [[processor]]s then available for [[personal computer]]s. |
| − | In a period just over 2 weeks in summer 2008, the first | + | In a period just over 2 weeks in summer 2008, the first two [[Mersenne prime]]s greater than {{Num|10000000}} digits long were found, [[M47]] and then [[M45]]. In April 2009 a third prime greater that {{Num|10000000}} digits was found, [[M46]]. By the end of 2010, all exponents that would produce a number less than {{Num|10000000}} digits had been [[primality test|tested]] at least once. |
[[Category:Primes]] | [[Category:Primes]] | ||
Revision as of 08:52, 20 February 2019
After the discovery of M38 (the first megaprime or prime number greater than 1 million decimal digits) in June of 1999, the next EFF prizes for prime numbers was ten million decimal digits.
Prime95 had an optional worktype to test numbers that were at least 10,000,000 digits added (exponents of 33,219,281 and higher). When first made available and handed out by PrimeNet, the Lucas-Lehmer tests of these exponents took over a year on the fastest processors then available for personal computers.
In a period just over 2 weeks in summer 2008, the first two Mersenne primes greater than 10,000,000 digits long were found, M47 and then M45. In April 2009 a third prime greater that 10,000,000 digits was found, M46. By the end of 2010, all exponents that would produce a number less than 10,000,000 digits had been tested at least once.
