What is the 3921st prime number?
The 3921st prime number is 36973. The next prime is 36979 (a gap of 6) and the one before is 36947.
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 3921st one is 36973.
- 2
36973 is prime because no prime up to ā36973 ā 192.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3921st prime is close to 3921 Ć ln(3921) ā 32443, and here it is 36973.
- 4
36973 has no twin: neither 36971 nor 36975 is prime.
Primes around the 3921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3918 | 36931 | 2 |
| 3919 | 36943 | 12 |
| 3920 | 36947 | 4 |
| 3921 | 36973 | 26 |
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
Questions
What is the 3921st prime number?
36973.
Which prime number is 36973?
36973 is the 3921st prime number.
What is the sum of the first 3921 primes?
68,312,486.