What is the 3965th prime number?
The 3965th prime number is 37463. The next prime is 37483 (a gap of 20) and the one before is 37447.
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 3965th one is 37463.
- 2
37463 is prime because no prime up to ā37463 ā 193.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3965th prime is close to 3965 Ć ln(3965) ā 32851, and here it is 37463.
- 4
37463 has no twin: neither 37461 nor 37465 is prime.
Primes around the 3965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
| 3968 | 37493 | 4 |
Questions
What is the 3965th prime number?
37463.
Which prime number is 37463?
37463 is the 3965th prime number.
What is the sum of the first 3965 primes?
69,950,208.