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The largest known prize bit has been discovered by an amateur research worker and former Nvidia employee .
The new bit is 2136,279,841 – 1 , which beats the previous title holder ( 282,589,933 – 1 ) by more than 16 million figure .
A draw housing six Sapphire Technology AMD graphics processing units (GPUs).
Prime numbers , describe by mathematicians as the " atoms of integers , " are numbers that are divisible only by themselves and 1 . The little prime number are 2 , 3 , 5 , 7 and 11 . Technically , prime numbers run to eternity , but find them becomes significantly hard the large they get .
To find the new prime , Luke Durant used afree programcalled the Great net Mersenne Prime Search , or GIMPS , to sift through the possibilities with an algorithm . His exertion require the harnessing of thousands of art processing unit ( GPUs ) across 24 datum centre in 17 countries — a feat that " ends the 28 - year reign of average personal computer discover these huge prime numbers,“according to a statementreleased on the GIMPS web site .
The freshly confirmed choice number contains 41,024,320 decimal digits , according to the financial statement .
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The fresh prime turn is also the 52nd known Mersenne prime — a serial named after Marin Mersenne , a French monk and polymath who devised a expression for finding select numbers by subtracting 1 from powers of 2 . ( The smallest Mersenne prime is 3 — or 2 to the baron of 2 , minus 1 . ) Though far from being the only way of life to discover efflorescence , the method is slightly easier than others .
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As for the utility of the discovery , " At present there are few practical employment for these expectant Mersenne prime , prompt some to ask , ' Why search for these large primes ? ' " the GIMPS squad write in the financial statement . " Those same incertitude be a few ten ago until crucial cryptography algorithm were developed based on prime numbers . "
The discovery has netted Durant a $ 3,000 cash prize from GIMPS . Further prizes of $ 150,000 and $ 250,000 await those who discover the first hundred - million - finger’s breadth bloom and the first billion - digit prime , severally .
