What is the 6995th prime number?
The 6995th prime number is 70607. The next prime is 70619 (a gap of 12) and the one before is 70589.
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 6995th one is 70607.
- 2
70607 is prime because no prime up to ā70607 ā 265.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6995th prime is close to 6995 Ć ln(6995) ā 61926, and here it is 70607.
- 4
70607 has no twin: neither 70605 nor 70609 is prime.
Primes around the 6995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
| 6998 | 70627 | 6 |
Questions
What is the 6995th prime number?
70607.
Which prime number is 70607?
70607 is the 6995th prime number.
What is the sum of the first 6995 primes?
233,107,910.