What is the 437th prime number?
The 437th prime number is 3049. The next prime is 3061 (a gap of 12) and the one before is 3041.
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 437th one is 3049.
- 2
3049 is prime because no prime up to ā3049 ā 55.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 437th prime is close to 437 Ć ln(437) ā 2657, and here it is 3049.
- 4
3049 has no twin: neither 3047 nor 3051 is prime.
Primes around the 437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
| 436 | 3041 | 4 |
| 437 | 3049 | 8 |
| 438 | 3061 | 12 |
| 439 | 3067 | 6 |
| 440 | 3079 | 12 |
Questions
What is the 437th prime number?
3049.
Which prime number is 3049?
3049 is the 437th prime number.
What is the sum of the first 437 primes?
615,004.