What is the 3955th prime number?
The 3955th prime number is 37357. The next prime is 37361 (a gap of 4) and the one before is 37339.
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 3955th one is 37357.
- 2
37357 is prime because no prime up to ā37357 ā 193.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3955th prime is close to 3955 Ć ln(3955) ā 32758, and here it is 37357.
- 4
37357 has no twin: neither 37355 nor 37359 is prime.
Primes around the 3955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
Questions
What is the 3955th prime number?
37357.
Which prime number is 37357?
37357 is the 3955th prime number.
What is the sum of the first 3955 primes?
69,576,156.