What is the 3969th prime number?
The 3969th prime number is 37501. The next prime is 37507 (a gap of 6) and the one before is 37493.
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 3969th one is 37501.
- 2
37501 is prime because no prime up to ā37501 ā 193.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3969th prime is close to 3969 Ć ln(3969) ā 32888, and here it is 37501.
- 4
37501 has no twin: neither 37499 nor 37503 is prime.
Primes around the 3969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
| 3968 | 37493 | 4 |
| 3969 | 37501 | 8 |
| 3970 | 37507 | 6 |
| 3971 | 37511 | 4 |
| 3972 | 37517 | 6 |
Questions
What is the 3969th prime number?
37501.
Which prime number is 37501?
37501 is the 3969th prime number.
What is the sum of the first 3969 primes?
70,100,174.