What is the 7936th prime number?
The 7936th prime number is 81071. The next prime is 81077 (a gap of 6) and the one before is 81049.
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 7936th one is 81071.
- 2
81071 is prime because no prime up to ā81071 ā 284.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7936th prime is close to 7936 Ć ln(7936) ā 71259, and here it is 81071.
- 4
81071 has no twin: neither 81069 nor 81073 is prime.
Primes around the 7936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7933 | 81043 | 2 |
| 7934 | 81047 | 4 |
| 7935 | 81049 | 2 |
| 7936 | 81071 | 22 |
| 7937 | 81077 | 6 |
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
Questions
What is the 7936th prime number?
81071.
Which prime number is 81071?
81071 is the 7936th prime number.
What is the sum of the first 7936 primes?
304,464,883.