What is the 4293rd prime number?
The 4293rd prime number is 41017. The next prime is 41023 (a gap of 6) and the one before is 41011.
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 4293rd one is 41017.
- 2
41017 is prime because no prime up to ā41017 ā 202.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4293rd prime is close to 4293 Ć ln(4293) ā 35910, and here it is 41017.
- 4
41017 has no twin: neither 41015 nor 41019 is prime.
Primes around the 4293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
| 4294 | 41023 | 6 |
| 4295 | 41039 | 16 |
| 4296 | 41047 | 8 |
Questions
What is the 4293rd prime number?
41017.
Which prime number is 41017?
41017 is the 4293rd prime number.
What is the sum of the first 4293 primes?
82,817,272.