What is the 1076th prime number?
The 1076th prime number is 8641. The next prime is 8647 (a gap of 6) and the one before is 8629.
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 1076th one is 8641.
- 2
8641 is prime because no prime up to ā8641 ā 92.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1076th prime is close to 1076 Ć ln(1076) ā 7512, and here it is 8641.
- 4
8641 has no twin: neither 8639 nor 8643 is prime.
Primes around the 1076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
Questions
What is the 1076th prime number?
8641.
Which prime number is 8641?
8641 is the 1076th prime number.
What is the sum of the first 1076 primes?
4,312,645.