What is the 8188th prime number?
The 8188th prime number is 83969. The next prime is 83983 (a gap of 14) and the one before is 83939.
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 8188th one is 83969.
- 2
83969 is prime because no prime up to ā83969 ā 289.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8188th prime is close to 8188 Ć ln(8188) ā 73777, and here it is 83969.
- 4
83969 has no twin: neither 83967 nor 83971 is prime.
Primes around the 8188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8185 | 83921 | 10 |
| 8186 | 83933 | 12 |
| 8187 | 83939 | 6 |
| 8188 | 83969 | 30 |
| 8189 | 83983 | 14 |
| 8190 | 83987 | 4 |
| 8191 | 84011 | 24 |
Questions
What is the 8188th prime number?
83969.
Which prime number is 83969?
83969 is the 8188th prime number.
What is the sum of the first 8188 primes?
325,254,117.