What is the 6972nd prime number?
The 6972nd prime number is 70351. The next prime is 70373 (a gap of 22) and the one before is 70327.
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 6972nd one is 70351.
- 2
70351 is prime because no prime up to ā70351 ā 265.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6972nd prime is close to 6972 Ć ln(6972) ā 61700, and here it is 70351.
- 4
70351 has no twin: neither 70349 nor 70353 is prime.
Primes around the 6972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6969 | 70313 | 4 |
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
| 6972 | 70351 | 24 |
| 6973 | 70373 | 22 |
| 6974 | 70379 | 6 |
| 6975 | 70381 | 2 |
Questions
What is the 6972nd prime number?
70351.
Which prime number is 70351?
70351 is the 6972nd prime number.
What is the sum of the first 6972 primes?
231,486,723.