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Problem 97


Problem 97


Large non-Mersenne prime

The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 26972593−1; it contains exactly 2,098,960 digits. Subsequently other Mersenne primes, of the form 2p−1, have been found which contain more digits.

However, in 2004 there was found a massive non-Mersenne prime which contains 2,357,207 digits: 28433×27830457+1.

Find the last ten digits of this prime number.


非梅森大素数

1999年人们发现了第一个超过一百万位的素数,这是一个梅森素数,可以表示为26972593−1,包含有2,098,960位数字。在此之后,更多形如2p−1的梅森素数被发现,其位数也越来越多。

然而,在2004年,人们发现了一个巨大的非梅森素数,包含有2,357,207位数字:28433×27830457+1。

找出这个素数的最后十位数字。