What is the 4299th prime number?
The 4299th prime number is 41077. The next prime is 41081 (a gap of 4) and the one before is 41057.
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 4299th one is 41077.
- 2
41077 is prime because no prime up to ā41077 ā 202.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4299th prime is close to 4299 Ć ln(4299) ā 35966, and here it is 41077.
- 4
41077 has no twin: neither 41075 nor 41079 is prime.
Primes around the 4299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4296 | 41047 | 8 |
| 4297 | 41051 | 4 |
| 4298 | 41057 | 6 |
| 4299 | 41077 | 20 |
| 4300 | 41081 | 4 |
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
Questions
What is the 4299th prime number?
41077.
Which prime number is 41077?
41077 is the 4299th prime number.
What is the sum of the first 4299 primes?
83,063,566.