What is the 3750th prime number?
The 3750th prime number is 35159. The next prime is 35171 (a gap of 12) and the one before is 35153.
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 3750th one is 35159.
- 2
35159 is prime because no prime up to ā35159 ā 187.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3750th prime is close to 3750 Ć ln(3750) ā 30861, and here it is 35159.
- 4
35159 has no twin: neither 35157 nor 35161 is prime.
Primes around the 3750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
| 3752 | 35201 | 30 |
| 3753 | 35221 | 20 |
Questions
What is the 3750th prime number?
35159.
Which prime number is 35159?
35159 is the 3750th prime number.
What is the sum of the first 3750 primes?
62,136,813.