What is the 91st prime number?
The 91st prime number is 467. The next prime is 479 (a gap of 12) and the one before is 463.
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 91st one is 467.
- 2
467 is prime because no prime up to ā467 ā 21.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 91st prime is close to 91 Ć ln(91) ā 410, and here it is 467.
- 4
467 has no twin: neither 465 nor 469 is prime.
Primes around the 91st
| Position | Prime | Gap from the previous |
|---|---|---|
| 88 | 457 | 8 |
| 89 | 461 | 4 |
| 90 | 463 | 2 |
| 91 | 467 | 4 |
| 92 | 479 | 12 |
| 93 | 487 | 8 |
| 94 | 491 | 4 |
Questions
What is the 91st prime number?
467.
Which prime number is 467?
467 is the 91st prime number.
What is the sum of the first 91 primes?
19,580.