What is the 6937th prime number?
The 6937th prime number is 70003. The next prime is 70009 (a gap of 6) and the one before is 70001.
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 6937th one is 70003.
- 2
70003 is prime because no prime up to ā70003 ā 264.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6937th prime is close to 6937 Ć ln(6937) ā 61355, and here it is 70003.
- 4
70003 is a twin prime: 70001 and 70003 are both prime.
Primes around the 6937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6934 | 69991 | 32 |
| 6935 | 69997 | 6 |
| 6936 | 70001 | 4 |
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
Questions
What is the 6937th prime number?
70003.
Which prime number is 70003?
70003 is the 6937th prime number.
What is the sum of the first 6937 primes?
229,030,422.