What is the 4291st prime number?
The 4291st prime number is 40993. The next prime is 41011 (a gap of 18) and the one before is 40973.
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 4291st one is 40993.
- 2
40993 is prime because no prime up to ā40993 ā 202.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4291st prime is close to 4291 Ć ln(4291) ā 35891, and here it is 40993.
- 4
40993 has no twin: neither 40991 nor 40995 is prime.
Primes around the 4291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4288 | 40949 | 10 |
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
| 4294 | 41023 | 6 |
Questions
What is the 4291st prime number?
40993.
Which prime number is 40993?
40993 is the 4291st prime number.
What is the sum of the first 4291 primes?
82,735,244.