What is the 4310th prime number?
The 4310th prime number is 41183. The next prime is 41189 (a gap of 6) and the one before is 41179.
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 4310th one is 41183.
- 2
41183 is prime because no prime up to ā41183 ā 202.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4310th prime is close to 4310 Ć ln(4310) ā 36069, and here it is 41183.
- 4
41183 has no twin: neither 41181 nor 41185 is prime.
Primes around the 4310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4307 | 41161 | 12 |
| 4308 | 41177 | 16 |
| 4309 | 41179 | 2 |
| 4310 | 41183 | 4 |
| 4311 | 41189 | 6 |
| 4312 | 41201 | 12 |
| 4313 | 41203 | 2 |
Questions
What is the 4310th prime number?
41183.
Which prime number is 41183?
41183 is the 4310th prime number.
What is the sum of the first 4310 primes?
83,516,141.