What is the 6908th prime number?
The 6908th prime number is 69661. The next prime is 69677 (a gap of 16) and the one before is 69653.
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 6908th one is 69661.
- 2
69661 is prime because no prime up to ā69661 ā 263.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6908th prime is close to 6908 Ć ln(6908) ā 61070, and here it is 69661.
- 4
69661 has no twin: neither 69659 nor 69663 is prime.
Primes around the 6908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6905 | 69593 | 36 |
| 6906 | 69623 | 30 |
| 6907 | 69653 | 30 |
| 6908 | 69661 | 8 |
| 6909 | 69677 | 16 |
| 6910 | 69691 | 14 |
| 6911 | 69697 | 6 |
Questions
What is the 6908th prime number?
69661.
Which prime number is 69661?
69661 is the 6908th prime number.
What is the sum of the first 6908 primes?
227,004,981.