What is the 6936th prime number?
The 6936th prime number is 70001. The next prime is 70003 (a gap of 2) and the one before is 69997.
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 6936th one is 70001.
- 2
70001 is prime because no prime up to ā70001 ā 264.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6936th prime is close to 6936 Ć ln(6936) ā 61345, and here it is 70001.
- 4
70001 is a twin prime: 70001 and 70003 are both prime.
Primes around the 6936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6933 | 69959 | 18 |
| 6934 | 69991 | 32 |
| 6935 | 69997 | 6 |
| 6936 | 70001 | 4 |
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
Questions
What is the 6936th prime number?
70001.
Which prime number is 70001?
70001 is the 6936th prime number.
What is the sum of the first 6936 primes?
228,960,419.