What is the 4302nd prime number?
The 4302nd prime number is 41117. The next prime is 41131 (a gap of 14) and the one before is 41113.
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 4302nd one is 41117.
- 2
41117 is prime because no prime up to ā41117 ā 202.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4302nd prime is close to 4302 Ć ln(4302) ā 35994, and here it is 41117.
- 4
41117 has no twin: neither 41115 nor 41119 is prime.
Primes around the 4302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4299 | 41077 | 20 |
| 4300 | 41081 | 4 |
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
| 4304 | 41141 | 10 |
| 4305 | 41143 | 2 |
Questions
What is the 4302nd prime number?
41117.
Which prime number is 41117?
41117 is the 4302nd prime number.
What is the sum of the first 4302 primes?
83,186,877.