What is the 6971st prime number?
The 6971st prime number is 70327. The next prime is 70351 (a gap of 24) and the one before is 70321.
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 6971st one is 70327.
- 2
70327 is prime because no prime up to ā70327 ā 265.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6971st prime is close to 6971 Ć ln(6971) ā 61690, and here it is 70327.
- 4
70327 has no twin: neither 70325 nor 70329 is prime.
Primes around the 6971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6968 | 70309 | 12 |
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
| 6972 | 70351 | 24 |
| 6973 | 70373 | 22 |
| 6974 | 70379 | 6 |
Questions
What is the 6971st prime number?
70327.
Which prime number is 70327?
70327 is the 6971st prime number.
What is the sum of the first 6971 primes?
231,416,372.