What is the 387th prime number?
The 387th prime number is 2671. The next prime is 2677 (a gap of 6) and the one before is 2663.
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 387th one is 2671.
- 2
2671 is prime because no prime up to ā2671 ā 51.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 387th prime is close to 387 Ć ln(387) ā 2306, and here it is 2671.
- 4
2671 has no twin: neither 2669 nor 2673 is prime.
Primes around the 387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 384 | 2657 | 10 |
| 385 | 2659 | 2 |
| 386 | 2663 | 4 |
| 387 | 2671 | 8 |
| 388 | 2677 | 6 |
| 389 | 2683 | 6 |
| 390 | 2687 | 4 |
Questions
What is the 387th prime number?
2671.
Which prime number is 2671?
2671 is the 387th prime number.
What is the sum of the first 387 primes?
472,646.