What is the 6376th prime number?
The 6376th prime number is 63607. The next prime is 63611 (a gap of 4) and the one before is 63601.
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 6376th one is 63607.
- 2
63607 is prime because no prime up to ā63607 ā 252.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6376th prime is close to 6376 Ć ln(6376) ā 55856, and here it is 63607.
- 4
63607 has no twin: neither 63605 nor 63609 is prime.
Primes around the 6376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
| 6378 | 63617 | 6 |
| 6379 | 63629 | 12 |
Questions
What is the 6376th prime number?
63607.
Which prime number is 63607?
63607 is the 6376th prime number.
What is the sum of the first 6376 primes?
191,571,391.