What is the 3755th prime number?
The 3755th prime number is 35251. The next prime is 35257 (a gap of 6) and the one before is 35227.
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 3755th one is 35251.
- 2
35251 is prime because no prime up to ā35251 ā 187.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3755th prime is close to 3755 Ć ln(3755) ā 30907, and here it is 35251.
- 4
35251 has no twin: neither 35249 nor 35253 is prime.
Primes around the 3755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3752 | 35201 | 30 |
| 3753 | 35221 | 20 |
| 3754 | 35227 | 6 |
| 3755 | 35251 | 24 |
| 3756 | 35257 | 6 |
| 3757 | 35267 | 10 |
| 3758 | 35279 | 12 |
Questions
What is the 3755th prime number?
35251.
Which prime number is 35251?
35251 is the 3755th prime number.
What is the sum of the first 3755 primes?
62,312,884.