What is the 7002nd prime number?
The 7002nd prime number is 70667. The next prime is 70687 (a gap of 20) and the one before is 70663.
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 7002nd one is 70667.
- 2
70667 is prime because no prime up to ā70667 ā 265.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7002nd prime is close to 7002 Ć ln(7002) ā 61995, and here it is 70667.
- 4
70667 has no twin: neither 70665 nor 70669 is prime.
Primes around the 7002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6999 | 70639 | 12 |
| 7000 | 70657 | 18 |
| 7001 | 70663 | 6 |
| 7002 | 70667 | 4 |
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
Questions
What is the 7002nd prime number?
70667.
Which prime number is 70667?
70667 is the 7002nd prime number.
What is the sum of the first 7002 primes?
233,602,403.