What is the 3968th prime number?
The 3968th prime number is 37493. The next prime is 37501 (a gap of 8) and the one before is 37489.
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 3968th one is 37493.
- 2
37493 is prime because no prime up to ā37493 ā 193.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3968th prime is close to 3968 Ć ln(3968) ā 32879, and here it is 37493.
- 4
37493 has no twin: neither 37491 nor 37495 is prime.
Primes around the 3968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
| 3968 | 37493 | 4 |
| 3969 | 37501 | 8 |
| 3970 | 37507 | 6 |
| 3971 | 37511 | 4 |
Questions
What is the 3968th prime number?
37493.
Which prime number is 37493?
37493 is the 3968th prime number.
What is the sum of the first 3968 primes?
70,062,673.