What is the 3961st prime number?
The 3961st prime number is 37409. The next prime is 37423 (a gap of 14) and the one before is 37397.
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 3961st one is 37409.
- 2
37409 is prime because no prime up to ā37409 ā 193.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3961st prime is close to 3961 Ć ln(3961) ā 32814, and here it is 37409.
- 4
37409 has no twin: neither 37407 nor 37411 is prime.
Primes around the 3961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
Questions
What is the 3961st prime number?
37409.
Which prime number is 37409?
37409 is the 3961st prime number.
What is the sum of the first 3961 primes?
69,800,434.