What is the 4290th prime number?
The 4290th prime number is 40973. The next prime is 40993 (a gap of 20) and the one before is 40961.
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 4290th one is 40973.
- 2
40973 is prime because no prime up to ā40973 ā 202.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4290th prime is close to 4290 Ć ln(4290) ā 35882, and here it is 40973.
- 4
40973 has no twin: neither 40971 nor 40975 is prime.
Primes around the 4290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4287 | 40939 | 6 |
| 4288 | 40949 | 10 |
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
| 4293 | 41017 | 6 |
Questions
What is the 4290th prime number?
40973.
Which prime number is 40973?
40973 is the 4290th prime number.
What is the sum of the first 4290 primes?
82,694,251.