What is the 3953rd prime number?
The 3953rd prime number is 37337. The next prime is 37339 (a gap of 2) and the one before is 37321.
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 3953rd one is 37337.
- 2
37337 is prime because no prime up to ā37337 ā 193.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3953rd prime is close to 3953 Ć ln(3953) ā 32740, and here it is 37337.
- 4
37337 is a twin prime: 37337 and 37339 are both prime.
Primes around the 3953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
Questions
What is the 3953rd prime number?
37337.
Which prime number is 37337?
37337 is the 3953rd prime number.
What is the sum of the first 3953 primes?
69,501,460.