What is the 4301st prime number?
The 4301st prime number is 41113. The next prime is 41117 (a gap of 4) and the one before is 41081.
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 4301st one is 41113.
- 2
41113 is prime because no prime up to ā41113 ā 202.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4301st prime is close to 4301 Ć ln(4301) ā 35985, and here it is 41113.
- 4
41113 has no twin: neither 41111 nor 41115 is prime.
Primes around the 4301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4298 | 41057 | 6 |
| 4299 | 41077 | 20 |
| 4300 | 41081 | 4 |
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
| 4304 | 41141 | 10 |
Questions
What is the 4301st prime number?
41113.
Which prime number is 41113?
41113 is the 4301st prime number.
What is the sum of the first 4301 primes?
83,145,760.