What is the 6997th prime number?
The 6997th prime number is 70621. The next prime is 70627 (a gap of 6) and the one before is 70619.
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 6997th one is 70621.
- 2
70621 is prime because no prime up to ā70621 ā 265.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6997th prime is close to 6997 Ć ln(6997) ā 61946, and here it is 70621.
- 4
70621 is a twin prime: 70619 and 70621 are both prime.
Primes around the 6997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
| 6998 | 70627 | 6 |
| 6999 | 70639 | 12 |
| 7000 | 70657 | 18 |
Questions
What is the 6997th prime number?
70621.
Which prime number is 70621?
70621 is the 6997th prime number.
What is the sum of the first 6997 primes?
233,249,150.