What is the 92nd prime number?
The 92nd prime number is 479. The next prime is 487 (a gap of 8) and the one before is 467.
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 92nd one is 479.
- 2
479 is prime because no prime up to ā479 ā 21.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 92nd prime is close to 92 Ć ln(92) ā 416, and here it is 479.
- 4
479 has no twin: neither 477 nor 481 is prime.
Primes around the 92nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 89 | 461 | 4 |
| 90 | 463 | 2 |
| 91 | 467 | 4 |
| 92 | 479 | 12 |
| 93 | 487 | 8 |
| 94 | 491 | 4 |
| 95 | 499 | 8 |
Questions
What is the 92nd prime number?
479.
Which prime number is 479?
479 is the 92nd prime number.
What is the sum of the first 92 primes?
20,059.