What is the 1090th prime number?
The 1090th prime number is 8741. The next prime is 8747 (a gap of 6) and the one before is 8737.
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 1090th one is 8741.
- 2
8741 is prime because no prime up to ā8741 ā 93.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1090th prime is close to 1090 Ć ln(1090) ā 7623, and here it is 8741.
- 4
8741 has no twin: neither 8739 nor 8743 is prime.
Primes around the 1090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
| 1093 | 8761 | 8 |
Questions
What is the 1090th prime number?
8741.
Which prime number is 8741?
8741 is the 1090th prime number.
What is the sum of the first 1090 primes?
4,434,411.