What is the 3975th prime number?
The 3975th prime number is 37547. The next prime is 37549 (a gap of 2) and the one before is 37537.
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 3975th one is 37547.
- 2
37547 is prime because no prime up to ā37547 ā 193.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3975th prime is close to 3975 Ć ln(3975) ā 32944, and here it is 37547.
- 4
37547 is a twin prime: 37547 and 37549 are both prime.
Primes around the 3975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3972 | 37517 | 6 |
| 3973 | 37529 | 12 |
| 3974 | 37537 | 8 |
| 3975 | 37547 | 10 |
| 3976 | 37549 | 2 |
| 3977 | 37561 | 12 |
| 3978 | 37567 | 6 |
Questions
What is the 3975th prime number?
37547.
Which prime number is 37547?
37547 is the 3975th prime number.
What is the sum of the first 3975 primes?
70,325,322.