What is the 3954th prime number?
The 3954th prime number is 37339. The next prime is 37357 (a gap of 18) and the one before is 37337.
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 3954th one is 37339.
- 2
37339 is prime because no prime up to ā37339 ā 193.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3954th prime is close to 3954 Ć ln(3954) ā 32749, and here it is 37339.
- 4
37339 is a twin prime: 37337 and 37339 are both prime.
Primes around the 3954th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
| 3956 | 37361 | 4 |
| 3957 | 37363 | 2 |
Questions
What is the 3954th prime number?
37339.
Which prime number is 37339?
37339 is the 3954th prime number.
What is the sum of the first 3954 primes?
69,538,799.