Abstract: The present invention relates to hAM15-52 analogues with improved amylin receptor (hAMY3R) potency (hAMY3R-EC50?250 pM) and which are largely based on the sequence of the human adrenomedullin fragment hAM15-52. The invention further relates to hAM15-52 analogues that are selective amylin receptor (hAMY3R) agonists (hAMY3R-EC50?250 pM and an hAM1R-EC50?25 nM) and which are largely based on the sequence of the human adrenomedullin fragment hAM15-52. The hAM15-52 analogues according to the invention maintain the good physical stability of hAM15-52. The invention further relates to pharmaceutical compositions comprising such polypeptides and their use in the treatment of a medical condition such as obesity, NASH and/or diabetes.