What is the 90th prime number?
The 90th prime number is 463. The next prime is 467 (a gap of 4) and the one before is 461.
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 90th one is 463.
- 2
463 is prime because no prime up to ā463 ā 21.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 90th prime is close to 90 Ć ln(90) ā 405, and here it is 463.
- 4
463 is a twin prime: 461 and 463 are both prime.
Primes around the 90th
| Position | Prime | Gap from the previous |
|---|---|---|
| 87 | 449 | 6 |
| 88 | 457 | 8 |
| 89 | 461 | 4 |
| 90 | 463 | 2 |
| 91 | 467 | 4 |
| 92 | 479 | 12 |
| 93 | 487 | 8 |
Questions
What is the 90th prime number?
463.
Which prime number is 463?
463 is the 90th prime number.
What is the sum of the first 90 primes?
19,113.