What is the 3748th prime number?
The 3748th prime number is 35149. The next prime is 35153 (a gap of 4) and the one before is 35141.
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 3748th one is 35149.
- 2
35149 is prime because no prime up to ā35149 ā 187.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3748th prime is close to 3748 Ć ln(3748) ā 30842, and here it is 35149.
- 4
35149 has no twin: neither 35147 nor 35151 is prime.
Primes around the 3748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
Questions
What is the 3748th prime number?
35149.
Which prime number is 35149?
35149 is the 3748th prime number.
What is the sum of the first 3748 primes?
62,066,501.