What is the 4696th prime number?
The 4696th prime number is 45263. The next prime is 45281 (a gap of 18) and the one before is 45259.
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 4696th one is 45263.
- 2
45263 is prime because no prime up to ā45263 ā 212.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4696th prime is close to 4696 Ć ln(4696) ā 39702, and here it is 45263.
- 4
45263 has no twin: neither 45261 nor 45265 is prime.
Primes around the 4696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4693 | 45233 | 36 |
| 4694 | 45247 | 14 |
| 4695 | 45259 | 12 |
| 4696 | 45263 | 4 |
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
Questions
What is the 4696th prime number?
45263.
Which prime number is 45263?
45263 is the 4696th prime number.
What is the sum of the first 4696 primes?
100,181,379.