What is the 3974th prime number?
The 3974th prime number is 37537. The next prime is 37547 (a gap of 10) and the one before is 37529.
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 3974th one is 37537.
- 2
37537 is prime because no prime up to ā37537 ā 193.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3974th prime is close to 3974 Ć ln(3974) ā 32935, and here it is 37537.
- 4
37537 has no twin: neither 37535 nor 37539 is prime.
Primes around the 3974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3971 | 37511 | 4 |
| 3972 | 37517 | 6 |
| 3973 | 37529 | 12 |
| 3974 | 37537 | 8 |
| 3975 | 37547 | 10 |
| 3976 | 37549 | 2 |
| 3977 | 37561 | 12 |
Questions
What is the 3974th prime number?
37537.
Which prime number is 37537?
37537 is the 3974th prime number.
What is the sum of the first 3974 primes?
70,287,775.