What is the 781st prime number?
The 781st prime number is 5953. The next prime is 5981 (a gap of 28) and the one before is 5939.
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 781st one is 5953.
- 2
5953 is prime because no prime up to ā5953 ā 77.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 781st prime is close to 781 Ć ln(781) ā 5202, and here it is 5953.
- 4
5953 has no twin: neither 5951 nor 5955 is prime.
Primes around the 781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
| 784 | 6007 | 20 |
Questions
What is the 781st prime number?
5953.
Which prime number is 5953?
5953 is the 781st prime number.
What is the sum of the first 781 primes?
2,162,766.