What is the 3747th prime number?
The 3747th prime number is 35141. The next prime is 35149 (a gap of 8) and the one before is 35129.
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 3747th one is 35141.
- 2
35141 is prime because no prime up to ā35141 ā 187.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3747th prime is close to 3747 Ć ln(3747) ā 30833, and here it is 35141.
- 4
35141 has no twin: neither 35139 nor 35143 is prime.
Primes around the 3747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
| 3750 | 35159 | 6 |
Questions
What is the 3747th prime number?
35141.
Which prime number is 35141?
35141 is the 3747th prime number.
What is the sum of the first 3747 primes?
62,031,352.