What is the 771st prime number?
The 771st prime number is 5861. The next prime is 5867 (a gap of 6) and the one before is 5857.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 771st one is 5861.
- 2
5861 is prime because no prime up to ā5861 ā 76.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 771st prime is close to 771 Ć ln(771) ā 5125, and here it is 5861.
- 4
5861 has no twin: neither 5859 nor 5863 is prime.
Primes around the 771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
Questions
What is the 771st prime number?
5861.
Which prime number is 5861?
5861 is the 771st prime number.
What is the sum of the first 771 primes?
2,103,728.