What is the 6970th prime number?
The 6970th prime number is 70321. The next prime is 70327 (a gap of 6) and the one before is 70313.
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 6970th one is 70321.
- 2
70321 is prime because no prime up to ā70321 ā 265.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6970th prime is close to 6970 Ć ln(6970) ā 61680, and here it is 70321.
- 4
70321 has no twin: neither 70319 nor 70323 is prime.
Primes around the 6970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6967 | 70297 | 8 |
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
| 6972 | 70351 | 24 |
| 6973 | 70373 | 22 |
Questions
What is the 6970th prime number?
70321.
Which prime number is 70321?
70321 is the 6970th prime number.
What is the sum of the first 6970 primes?
231,346,045.