What is the 782nd prime number?
The 782nd prime number is 5981. The next prime is 5987 (a gap of 6) and the one before is 5953.
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 782nd one is 5981.
- 2
5981 is prime because no prime up to ā5981 ā 77.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 782nd prime is close to 782 Ć ln(782) ā 5210, and here it is 5981.
- 4
5981 has no twin: neither 5979 nor 5983 is prime.
Primes around the 782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
| 784 | 6007 | 20 |
| 785 | 6011 | 4 |
Questions
What is the 782nd prime number?
5981.
Which prime number is 5981?
5981 is the 782nd prime number.
What is the sum of the first 782 primes?
2,168,747.