I suggest you check the wiki for all your explosion-related questions.
Included on that linked page is a description of how explosions work, explosive power of the various types of explosions (including creepers and charged creepers), and explosion resistance of the various types of blocks in the game.
Short answer: Yes, creepers can blow up cobblestone, but it has a higher resistance than dirt, so they have to be closer to the stone to impart enough explosive force to break it.
friend creepers can destroy all the blocks that they see but with exception the obsidian and bedrock so if you want to do a house do with obsidian or bedrock LOL!!
Creepers can blow up any block other then Obsidian and Bedrock. However, blocks like cobblestone are more resistant to creeper's, so they'll still blow up, but if one blows up your cobble structure it will do less damage.
Here's an idea.
1. Go to creative with Cheats on
2. Place a cobblestone block
3. Spawn a creeper
4. Switch to survival
5. Let the creeper blow up beside the cobblestone block
6. Did it blow up the cobblestone
7. Creepers can blow up cobblestone
It's not nearly as bad. If you want a sturdy house that the Big Bad Creeper can't blow down, go with something of cobblestone blast resistance or higher. Cobblestone, anything stoney (stone bricks, solid stone, stone slabs), hardened clay, it'll hold up pretty well, you'll just lose your windows and a block or two out of the wall.
What did you looking for? There's nothing to see here.
Seriously, I'm NOT good at english.
I'm just a passing asian guy.
Included on that linked page is a description of how explosions work, explosive power of the various types of explosions (including creepers and charged creepers), and explosion resistance of the various types of blocks in the game.
Short answer: Yes, creepers can blow up cobblestone, but it has a higher resistance than dirt, so they have to be closer to the stone to impart enough explosive force to break it.
https://www.youtube.com/playlist?list=PL0OtPNZX22RvZVeq4-dHa8GYKOc5lojKX
PROUD USER OF THE STEVE SKIN
I was going to tell you "command block", but then I saw "almost".
1. Go to creative with Cheats on
2. Place a cobblestone block
3. Spawn a creeper
4. Switch to survival
5. Let the creeper blow up beside the cobblestone block
6. Did it blow up the cobblestone
7. Creepers can blow up cobblestone
http://minecraft.gamepedia.com/Blast_resistance#Blast_resistance
There's your guide. I don't have that all memorized, but a few might surprise you. Quartz for example, super delicate.