What is the 6935th prime number?
The 6935th prime number is 69997. The next prime is 70001 (a gap of 4) and the one before is 69991.
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 6935th one is 69997.
- 2
69997 is prime because no prime up to ā69997 ā 264.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6935th prime is close to 6935 Ć ln(6935) ā 61335, and here it is 69997.
- 4
69997 has no twin: neither 69995 nor 69999 is prime.
Primes around the 6935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6932 | 69941 | 10 |
| 6933 | 69959 | 18 |
| 6934 | 69991 | 32 |
| 6935 | 69997 | 6 |
| 6936 | 70001 | 4 |
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
Questions
What is the 6935th prime number?
69997.
Which prime number is 69997?
69997 is the 6935th prime number.
What is the sum of the first 6935 primes?
228,890,418.