What is the 4295th prime number?
The 4295th prime number is 41039. The next prime is 41047 (a gap of 8) and the one before is 41023.
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 4295th one is 41039.
- 2
41039 is prime because no prime up to ā41039 ā 202.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4295th prime is close to 4295 Ć ln(4295) ā 35929, and here it is 41039.
- 4
41039 has no twin: neither 41037 nor 41041 is prime.
Primes around the 4295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
| 4294 | 41023 | 6 |
| 4295 | 41039 | 16 |
| 4296 | 41047 | 8 |
| 4297 | 41051 | 4 |
| 4298 | 41057 | 6 |
Questions
What is the 4295th prime number?
41039.
Which prime number is 41039?
41039 is the 4295th prime number.
What is the sum of the first 4295 primes?
82,899,334.