What is the 4300th prime number?
The 4300th prime number is 41081. The next prime is 41113 (a gap of 32) and the one before is 41077.
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 4300th one is 41081.
- 2
41081 is prime because no prime up to ā41081 ā 202.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4300th prime is close to 4300 Ć ln(4300) ā 35975, and here it is 41081.
- 4
41081 has no twin: neither 41079 nor 41083 is prime.
Primes around the 4300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4297 | 41051 | 4 |
| 4298 | 41057 | 6 |
| 4299 | 41077 | 20 |
| 4300 | 41081 | 4 |
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
Questions
What is the 4300th prime number?
41081.
Which prime number is 41081?
41081 is the 4300th prime number.
What is the sum of the first 4300 primes?
83,104,647.