What is the 366th prime number?
The 366th prime number is 2473. The next prime is 2477 (a gap of 4) and the one before is 2467.
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 366th one is 2473.
- 2
2473 is prime because no prime up to ā2473 ā 49.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 366th prime is close to 366 Ć ln(366) ā 2160, and here it is 2473.
- 4
2473 has no twin: neither 2471 nor 2475 is prime.
Primes around the 366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 363 | 2447 | 6 |
| 364 | 2459 | 12 |
| 365 | 2467 | 8 |
| 366 | 2473 | 6 |
| 367 | 2477 | 4 |
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
Questions
What is the 366th prime number?
2473.
Which prime number is 2473?
2473 is the 366th prime number.
What is the sum of the first 366 primes?
418,335.