What is the 379th prime number?
The 379th prime number is 2609. The next prime is 2617 (a gap of 8) and the one before is 2593.
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 379th one is 2609.
- 2
2609 is prime because no prime up to ā2609 ā 51.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 379th prime is close to 379 Ć ln(379) ā 2250, and here it is 2609.
- 4
2609 has no twin: neither 2607 nor 2611 is prime.
Primes around the 379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 376 | 2579 | 22 |
| 377 | 2591 | 12 |
| 378 | 2593 | 2 |
| 379 | 2609 | 16 |
| 380 | 2617 | 8 |
| 381 | 2621 | 4 |
| 382 | 2633 | 12 |
Questions
What is the 379th prime number?
2609.
Which prime number is 2609?
2609 is the 379th prime number.
What is the sum of the first 379 primes?
451,478.