What is the 3751st prime number?
The 3751st prime number is 35171. The next prime is 35201 (a gap of 30) and the one before is 35159.
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 3751st one is 35171.
- 2
35171 is prime because no prime up to ā35171 ā 187.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3751st prime is close to 3751 Ć ln(3751) ā 30870, and here it is 35171.
- 4
35171 has no twin: neither 35169 nor 35173 is prime.
Primes around the 3751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
| 3752 | 35201 | 30 |
| 3753 | 35221 | 20 |
| 3754 | 35227 | 6 |
Questions
What is the 3751st prime number?
35171.
Which prime number is 35171?
35171 is the 3751st prime number.
What is the sum of the first 3751 primes?
62,171,984.