What is the 6996th prime number?
The 6996th prime number is 70619. The next prime is 70621 (a gap of 2) and the one before is 70607.
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 6996th one is 70619.
- 2
70619 is prime because no prime up to ā70619 ā 265.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6996th prime is close to 6996 Ć ln(6996) ā 61936, and here it is 70619.
- 4
70619 is a twin prime: 70619 and 70621 are both prime.
Primes around the 6996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
| 6998 | 70627 | 6 |
| 6999 | 70639 | 12 |
Questions
What is the 6996th prime number?
70619.
Which prime number is 70619?
70619 is the 6996th prime number.
What is the sum of the first 6996 primes?
233,178,529.