What is the 377th prime number?
The 377th prime number is 2591. The next prime is 2593 (a gap of 2) and the one before is 2579.
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 377th one is 2591.
- 2
2591 is prime because no prime up to ā2591 ā 50.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 377th prime is close to 377 Ć ln(377) ā 2236, and here it is 2591.
- 4
2591 is a twin prime: 2591 and 2593 are both prime.
Primes around the 377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
| 376 | 2579 | 22 |
| 377 | 2591 | 12 |
| 378 | 2593 | 2 |
| 379 | 2609 | 16 |
| 380 | 2617 | 8 |
Questions
What is the 377th prime number?
2591.
Which prime number is 2591?
2591 is the 377th prime number.
What is the sum of the first 377 primes?
446,276.