What is the 4288th prime number?
The 4288th prime number is 40949. The next prime is 40961 (a gap of 12) and the one before is 40939.
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 4288th one is 40949.
- 2
40949 is prime because no prime up to ā40949 ā 202.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4288th prime is close to 4288 Ć ln(4288) ā 35863, and here it is 40949.
- 4
40949 has no twin: neither 40947 nor 40951 is prime.
Primes around the 4288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4285 | 40927 | 24 |
| 4286 | 40933 | 6 |
| 4287 | 40939 | 6 |
| 4288 | 40949 | 10 |
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
| 4291 | 40993 | 20 |
Questions
What is the 4288th prime number?
40949.
Which prime number is 40949?
40949 is the 4288th prime number.
What is the sum of the first 4288 primes?
82,612,317.