What is the 3752nd prime number?
The 3752nd prime number is 35201. The next prime is 35221 (a gap of 20) and the one before is 35171.
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 3752nd one is 35201.
- 2
35201 is prime because no prime up to ā35201 ā 187.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3752nd prime is close to 3752 Ć ln(3752) ā 30879, and here it is 35201.
- 4
35201 has no twin: neither 35199 nor 35203 is prime.
Primes around the 3752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
| 3752 | 35201 | 30 |
| 3753 | 35221 | 20 |
| 3754 | 35227 | 6 |
| 3755 | 35251 | 24 |
Questions
What is the 3752nd prime number?
35201.
Which prime number is 35201?
35201 is the 3752nd prime number.
What is the sum of the first 3752 primes?
62,207,185.