What is the 6994th prime number?
The 6994th prime number is 70589. The next prime is 70607 (a gap of 18) and the one before is 70583.
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 6994th one is 70589.
- 2
70589 is prime because no prime up to ā70589 ā 265.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6994th prime is close to 6994 Ć ln(6994) ā 61917, and here it is 70589.
- 4
70589 has no twin: neither 70587 nor 70591 is prime.
Primes around the 6994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
Questions
What is the 6994th prime number?
70589.
Which prime number is 70589?
70589 is the 6994th prime number.
What is the sum of the first 6994 primes?
233,037,303.