What is the 376th prime number?
The 376th prime number is 2579. The next prime is 2591 (a gap of 12) and the one before is 2557.
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 376th one is 2579.
- 2
2579 is prime because no prime up to ā2579 ā 50.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 376th prime is close to 376 Ć ln(376) ā 2230, and here it is 2579.
- 4
2579 has no twin: neither 2577 nor 2581 is prime.
Primes around the 376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
| 376 | 2579 | 22 |
| 377 | 2591 | 12 |
| 378 | 2593 | 2 |
| 379 | 2609 | 16 |
Questions
What is the 376th prime number?
2579.
Which prime number is 2579?
2579 is the 376th prime number.
What is the sum of the first 376 primes?
443,685.