What is the 3136th prime number?
The 3136th prime number is 28793. The next prime is 28807 (a gap of 14) and the one before is 28789.
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 3136th one is 28793.
- 2
28793 is prime because no prime up to ā28793 ā 169.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3136th prime is close to 3136 Ć ln(3136) ā 25247, and here it is 28793.
- 4
28793 has no twin: neither 28791 nor 28795 is prime.
Primes around the 3136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
Questions
What is the 3136th prime number?
28793.
Which prime number is 28793?
28793 is the 3136th prime number.
What is the sum of the first 3136 primes?
42,473,417.