What is the 4294th prime number?
The 4294th prime number is 41023. The next prime is 41039 (a gap of 16) and the one before is 41017.
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 4294th one is 41023.
- 2
41023 is prime because no prime up to ā41023 ā 202.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4294th prime is close to 4294 Ć ln(4294) ā 35919, and here it is 41023.
- 4
41023 has no twin: neither 41021 nor 41025 is prime.
Primes around the 4294th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
| 4294 | 41023 | 6 |
| 4295 | 41039 | 16 |
| 4296 | 41047 | 8 |
| 4297 | 41051 | 4 |
Questions
What is the 4294th prime number?
41023.
Which prime number is 41023?
41023 is the 4294th prime number.
What is the sum of the first 4294 primes?
82,858,295.