What is the 3971st prime number?
The 3971st prime number is 37511. The next prime is 37517 (a gap of 6) and the one before is 37507.
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 3971st one is 37511.
- 2
37511 is prime because no prime up to ā37511 ā 193.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3971st prime is close to 3971 Ć ln(3971) ā 32907, and here it is 37511.
- 4
37511 has no twin: neither 37509 nor 37513 is prime.
Primes around the 3971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3968 | 37493 | 4 |
| 3969 | 37501 | 8 |
| 3970 | 37507 | 6 |
| 3971 | 37511 | 4 |
| 3972 | 37517 | 6 |
| 3973 | 37529 | 12 |
| 3974 | 37537 | 8 |
Questions
What is the 3971st prime number?
37511.
Which prime number is 37511?
37511 is the 3971st prime number.
What is the sum of the first 3971 primes?
70,175,192.