What is the 388th prime number?
The 388th prime number is 2677. The next prime is 2683 (a gap of 6) and the one before is 2671.
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 388th one is 2677.
- 2
2677 is prime because no prime up to ā2677 ā 51.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 388th prime is close to 388 Ć ln(388) ā 2313, and here it is 2677.
- 4
2677 has no twin: neither 2675 nor 2679 is prime.
Primes around the 388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 385 | 2659 | 2 |
| 386 | 2663 | 4 |
| 387 | 2671 | 8 |
| 388 | 2677 | 6 |
| 389 | 2683 | 6 |
| 390 | 2687 | 4 |
| 391 | 2689 | 2 |
Questions
What is the 388th prime number?
2677.
Which prime number is 2677?
2677 is the 388th prime number.
What is the sum of the first 388 primes?
475,323.