Number theoryDifficulty 4.6AIMEFind the answerUnited States
Problem:
The integer 843301 is prime. The primorial of a prime number p, denoted p#, is defined to be the product of all prime numbers less than or equal to p. Determine the number of digits in 843301#. Your score will be max{60(31−ln(dA))⌋,0}, where A is your answer and d is the actual answer.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
Solution:
Answer: 365851
Remark: 843301#−1 is the largest known prime number of the form p#−1, where p is prime.
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Source: MathNet,
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