What is the 94th prime number?
The 94th prime number is 491. The next prime is 499 (a gap of 8) and the one before is 487.
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 94th one is 491.
- 2
491 is prime because no prime up to ā491 ā 22.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 94th prime is close to 94 Ć ln(94) ā 427, and here it is 491.
- 4
491 has no twin: neither 489 nor 493 is prime.
Primes around the 94th
| Position | Prime | Gap from the previous |
|---|---|---|
| 91 | 467 | 4 |
| 92 | 479 | 12 |
| 93 | 487 | 8 |
| 94 | 491 | 4 |
| 95 | 499 | 8 |
| 96 | 503 | 4 |
| 97 | 509 | 6 |
Questions
What is the 94th prime number?
491.
Which prime number is 491?
491 is the 94th prime number.
What is the sum of the first 94 primes?
21,037.