What is the 1077th prime number?
The 1077th prime number is 8647. The next prime is 8663 (a gap of 16) and the one before is 8641.
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 1077th one is 8647.
- 2
8647 is prime because no prime up to ā8647 ā 92.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1077th prime is close to 1077 Ć ln(1077) ā 7520, and here it is 8647.
- 4
8647 has no twin: neither 8645 nor 8649 is prime.
Primes around the 1077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
Questions
What is the 1077th prime number?
8647.
Which prime number is 8647?
8647 is the 1077th prime number.
What is the sum of the first 1077 primes?
4,321,292.