What is the 3749th prime number?
The 3749th prime number is 35153. The next prime is 35159 (a gap of 6) and the one before is 35149.
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 3749th one is 35153.
- 2
35153 is prime because no prime up to ā35153 ā 187.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3749th prime is close to 3749 Ć ln(3749) ā 30851, and here it is 35153.
- 4
35153 has no twin: neither 35151 nor 35155 is prime.
Primes around the 3749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
| 3752 | 35201 | 30 |
Questions
What is the 3749th prime number?
35153.
Which prime number is 35153?
35153 is the 3749th prime number.
What is the sum of the first 3749 primes?
62,101,654.