What is the 370th prime number?
The 370th prime number is 2531. The next prime is 2539 (a gap of 8) and the one before is 2521.
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 370th one is 2531.
- 2
2531 is prime because no prime up to ā2531 ā 50.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 370th prime is close to 370 Ć ln(370) ā 2188, and here it is 2531.
- 4
2531 has no twin: neither 2529 nor 2533 is prime.
Primes around the 370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 367 | 2477 | 4 |
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
Questions
What is the 370th prime number?
2531.
Which prime number is 2531?
2531 is the 370th prime number.
What is the sum of the first 370 primes?
428,367.