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Difference between revisions of "Gigaprime"
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| − | A '''Gigaprime''' is a [[ | + | {{Last update|2019-02-05}} |
| + | A '''Gigaprime''' is a [[prime]] number whose [[decimal]] representation has {{Num|1000000000}} or more [[digit]]s. There are infinitely many gigaprimes because there are infinitely primes. In fact, since there are only finitely many natural numbers with less than {{Num|1000000000}} digits, "nearly all" primes are gigaprimes. | ||
| − | As of this writing | + | As of this writing, no gigaprimes are known explicitly (nor has one of even {{Num|100000000}} digits). The EFF is offering a [[EFF prizes|{{Num|250000}} USD reward]] for the discovery of the first gigaprime. |
[[Chris Caldwell]] has proposed the alternate name bevaprime. | [[Chris Caldwell]] has proposed the alternate name bevaprime. | ||
| − | [[Operation Billion Digits]] is factoring [[Mersenne | + | [[Operation Billion Digits]] is factoring [[Mersenne number]]s in this range. |
==See also== | ==See also== | ||
| − | *[[Titanic prime]] ≥ | + | *[[Titanic prime]] ≥ {{Num|1000}} digits |
| − | *[[Gigantic prime]] ≥ | + | *[[Gigantic prime]] ≥ {{Num|10000}} digits |
| − | *[[Megaprime]] ≥ | + | *[[Megaprime]] ≥ {{Num|1000000}} digits |
| − | [[Category: | + | [[Category:Prime]] |
Latest revision as of 07:54, 14 July 2021
| Last update: 2019-02-05 |
A Gigaprime is a prime number whose decimal representation has 1,000,000,000 or more digits. There are infinitely many gigaprimes because there are infinitely primes. In fact, since there are only finitely many natural numbers with less than 1,000,000,000 digits, "nearly all" primes are gigaprimes.
As of this writing, no gigaprimes are known explicitly (nor has one of even 100,000,000 digits). The EFF is offering a 250,000 USD reward for the discovery of the first gigaprime.
Chris Caldwell has proposed the alternate name bevaprime.
Operation Billion Digits is factoring Mersenne numbers in this range.
See also
- Titanic prime ≥ 1,000 digits
- Gigantic prime ≥ 10,000 digits
- Megaprime ≥ 1,000,000 digits
