What is the 4289th prime number?
The 4289th prime number is 40961. The next prime is 40973 (a gap of 12) and the one before is 40949.
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 4289th one is 40961.
- 2
40961 is prime because no prime up to ā40961 ā 202.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4289th prime is close to 4289 Ć ln(4289) ā 35872, and here it is 40961.
- 4
40961 has no twin: neither 40959 nor 40963 is prime.
Primes around the 4289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4286 | 40933 | 6 |
| 4287 | 40939 | 6 |
| 4288 | 40949 | 10 |
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
| 4292 | 41011 | 18 |
Questions
What is the 4289th prime number?
40961.
Which prime number is 40961?
40961 is the 4289th prime number.
What is the sum of the first 4289 primes?
82,653,278.