What is the 4292nd prime number?
The 4292nd prime number is 41011. The next prime is 41017 (a gap of 6) and the one before is 40993.
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 4292nd one is 41011.
- 2
41011 is prime because no prime up to ā41011 ā 202.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4292nd prime is close to 4292 Ć ln(4292) ā 35900, and here it is 41011.
- 4
41011 has no twin: neither 41009 nor 41013 is prime.
Primes around the 4292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
| 4294 | 41023 | 6 |
| 4295 | 41039 | 16 |
Questions
What is the 4292nd prime number?
41011.
Which prime number is 41011?
41011 is the 4292nd prime number.
What is the sum of the first 4292 primes?
82,776,255.